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SUBTRACTION
OF FRACTIONS
John drove from Iligan City to
Bukidnon. He took 4 hours for the
whole journey. He drove
7
10
hr. and
rested for
3
10
hr. before completing the
rest of the journey.
How long did he take for the rest of
the journey?
What part of the fraction did John
take for the rest of the journey?
SUBTRACTING SIMILAR FRACTIONS
7
10
−
3
10
= ?
SUBTRACTING SIMILAR FRACTIONS
Step 1: To get the difference of the fractions, subtract the
numerators and then copy the common denominator.
7
10
−
3
10
=
7 − 3
10
=
4
10
SUBTRACTING SIMILAR FRACTIONS
Step 2: Simplify the answer if possible by getting the
GCF. In the result, the GCF is 2.
4
10
4 10
2 X 2 5 X 2
4: 2 X 2
10: 5 X 2
SUBTRACTING SIMILAR FRACTIONS
Step 2: Simplify the answer if possible by getting the
GCF. In the result, the GCF is 2.
4 ÷ 2
10 ÷ 2
=
2
5
SUBTRACTING MIXED NUMBER WITH SIMILAR FRACTIONAL PARTS:
6
5
8
− 1
3
8
= ?
SUBTRACTING MIXED NUMBER WITH SIMILAR FRACTIONAL PARTS:
Step 1: Subtract the numerators first then copy the
common denominator.
6 − 1 +
5 − 3
8
= 6 − 1 +
2
8
SUBTRACTING MIXED NUMBER WITH SIMILAR FRACTIONAL PARTS:
Step 2: Perform the operation of subtraction on the
whole numbers. Subtract 1 from 6.
6 − 1 +
2
8
= 5
2
8
SUBTRACTING SIMILAR FRACTIONS
Step 3: To simplify the answer, divide the numerator and
the denominator by the GCF which is 2
5
2
8
2 8
1 X 2 2 X 4
2: 1 X 2
8: 2 x 2 x 2
2 X 2
SUBTRACTING SIMILAR FRACTIONS
Step 3: To simplify the answer, divide the numerator and
the denominator by the GCF which is 2
5
2 ÷ 2
8 ÷ 2
= 5
1
4
SUBTRACTING DISSIMILAR FRACTIONS
2
5
−
1
3
= ?
SUBTRACTING DISSIMILAR FRACTIONS
Step 1: To get the difference of the fractions, use the
LCD of them to write their equivalent fractions. In this
case, the LCD of 5 and 3 is 15.
5: 5, 10, 15, 20, 25, 30, 35
. . .
3: 3, 6, 9, 12, 15, 18, 21,
SUBTRACTING DISSIMILAR FRACTIONS
Step 1: To get the difference of the fractions, use the
LCD of them to write their equivalent fractions. In this
case, the LCD of 5 and 3 is 15.
2𝑥3
5𝑥3
=
6
15
1𝑥5
3𝑥5
=
5
15
SUBTRACTING DISSIMILAR FRACTIONS
Step 2: Subtract the numerators and copy the
common denominator. Then, simplify your answer if
possible
6
15
−
5
15
=
1
15
SUBTRACTING DISSIMILAR FRACTIONS
Step 2: Subtract the numerators and copy the
common denominator. Then, simplify your answer if
possible
6
15
−
5
15
=
1
15
SUBTRACTING DISSIMILAR FRACTIONS
36
3
8
− 12
2
7
= ?
SUBTRACTING DISSIMILAR FRACTIONS
Step 1: Make
3
8
and
2
7
similar fractions to subtract. In
order to do this, get the LCD of the denominators 8 and
7, which is 56. Then, write their equivalent fractions.
36
3𝑥7
8𝑥7
= 36
21
56
12
2𝑥8
7𝑥8
= 12
16
56
SUBTRACTING DISSIMILAR FRACTIONS
Step 2: Subtract the numerators, then copy the
common denominator. Subtract the whole numbers as
well.
36
21
56
− 12
16
56
= 36 − 12 +
21 − 16
56
= 24 +
5
56
= 24
5
56
SUBTRACTING FRACTION FROM A WHOLE NUMBER
2 −
2
5
=?
SUBTRACTING FRACTION FROM A WHOLE NUMBER
Step 2: Subtract.
1
5
5
−
2
5
= 1
3
5

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