1) To divide a whole number by a fraction, convert the whole number to a fraction by placing it over 1. Then take the reciprocal of the dividing fraction by flipping its numerator and denominator.
2) Multiply the two fractions to get the quotient. Simplify if needed.
3) You can also draw the whole number as shapes and divide each shape according to the denominator of the dividing fraction. Shade groups of the fraction and count remaining pieces.
Proper; Improper & Mixed Number FractionsLorenKnights
How many equal parts of a whole. We call the top number the Numerator, it is the number of parts we have.
We call the bottom number the Denominator, it is the number of parts the whole is divided into.
Proper; Improper & Mixed Number FractionsLorenKnights
How many equal parts of a whole. We call the top number the Numerator, it is the number of parts we have.
We call the bottom number the Denominator, it is the number of parts the whole is divided into.
Helping parents to understand the correct method of teaching their children Algebra / Mathematics / Math can be tricky.
There are many pit-falls in helping children with their homework because many of the ways we were taught are out of date.
Try this simple free online lesson and watch as your child learns how to do Simple Division by following this step-by-step guide.
Helping parents to understand the correct method of teaching their children Algebra / Mathematics / Math can be tricky.
There are many pit-falls in helping children with their homework because many of the ways we were taught are out of date.
Try this simple free online lesson and watch as your child learns how to do Simple Division by following this step-by-step guide.
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Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
1. How to Divide a Whole Number by a
Fraction
When dividing a whole number by a fraction, you are finding how many groups of the
fraction you can fit in the whole. The standard way of dividing a whole number by a
fraction is to multiply the whole number by the reciprocal of the fraction. You can also
draw a diagram to help you visualize the process.
Method1
Multiplying by the Reciprocal
1.
1
Convert the whole number to a fraction. To do this, make the whole number the
numerator of a fraction. Make the denominator 1.[1]
For example, if you are calculating 7÷ 3/4, you would first change 7 to 7/1.
2.
2. 2
Find the reciprocal of the divisor. The reciprocal of a number is the inverse of the
number. To find the reciprocal of a fraction, reverse the numerator and denominator.[2]
For example, the inverse of 3/4 is 4/3.
3. 3
Multiply the two fractions. To multiply fractions, first multiply the numerators together.
Then, multiply the denominators together. The product of the two fractions equals the
quotient of your original division problem.
For example, 7/1 × 4/3 = 28/3
4. 4
Simplify, if necessary. If you have an improper fraction (a fraction with a larger
numerator than denominator), your teacher may require you to change it to a mixed
number. Usually your teacher will require you to reduce proper fractions to lowest terms.
For example, 28/3 simplifies to the mixed number 9 1/3.
5. Method2
Drawing a Diagram
1
Draw shapes representing the whole number. Your shape should be one capable of
dividing into equal groups, such as a square or circle. Draw the shapes large enough
that you can divide them into smaller pieces.
For example, if you are calculating 5÷3/4, you would draw 5 circles.
6. 2
Divide each whole shape according to the fraction’s denominator. The
denominator of a fraction tells you how many pieces a whole is divided into. Divide each
whole shape into its fractional parts.
For example, if you are dividing by 3/4, the 4 in the denominator tells you to divide each
whole shape into fourths.
7. 3
Shade in groups representing the fraction. Since you are dividing the whole number
by the fraction, you are looking to see how many groups of the fraction are in the whole
number.[5] So, first, you need to create your groups. It might be helpful to shade each
group a different color, since some groups will have pieces in two different wholes.
Leave any leftover pieces unshaded.
For example, if you are dividing 5 by 3/4, you would color 3 quarters a different color for
each group. Note that many groups will contain 2 quarters in one whole, and 1 quarter
in another whole.
8. 4
Count the number of whole groups. This will give you the whole number of your
answer.
For example, you should have created 6 groups of 3/4 among your 5 circles.
9. 5
Interpret leftover pieces. Compare the number of pieces you have left over to a
complete group. The fraction of a group that you have left over will indicate the fraction
of your answer. Make sure you do not compare the number of pieces you have to a
whole shape, as this will give you the wrong fraction.
For example, after dividing the 5 shapes into groups of 3/4, you have 2 quarters,
or 2/4 left. Since a whole group is 3 pieces, and you have 2 pieces, your fraction is 2/3.
10. 6
Write the answer. Combine your whole number of groups with your fractional number
of groups to find the quotient of your original division problem.
For example, 5 ÷ ¾ = 6 2/3
11. Method3
Solving Sample Problems
1
Solve this math problem: How many times does 1/2 go into 8?
Since the problem is asking how many groups of 1/2 are in 8, the problem is one of
division.
Turn 8 into a fraction by placing it over 1: 8 = 8/1.
Find the reciprocal of the fraction by reversing the numerator and denominator:
becomes 1/2.
Multiply the two fractions together: 8/1 × 2/1 = 16/1.
Simplify, if necessary: 16/1 = 16.
12. 2
Solve the following problem: 16 ÷ 5/8.
Convert 16 into a fraction by placing it over 1: 16 = 16/1.
Take the fraction’s reciprocal by reversing the numerator and denominator: 5/8
becomes 8/5.
Multiply the two fractions together: 16/1 × 8/5 = 128/5.
Simplify, if necessary: 128/5 = 25 3/5.
13. 3
Solve the following problem by drawing a diagram. Rufus has 9 cans of food. She
eats 2/3 of a can every day. How many days will her food last?
Draw 9 circles representing the 9 cans.
Since she eats 2/3 at a time, divide each circle into thirds.
Color groups of 2/3.
Count the number of complete groups. There should be 13.
Interpret the leftover pieces. There is 1 piece leftover, which is 1/3. Since a whole group
is 2/3, you have half a group left over. So, your fraction is 1/2.
Combine the number of whole groups and fractional groups to find your final answer: 9
÷ 2/3 = 13 1/2.