Add 1/7 and 70/32, Solve 1/7 + 2 6/32 as a fraction

Add 1/7 and 70/32

1^st number: 1/7, 2^nd number: 2 6/32

1/7 + 70/32 is 261/112.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 32 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 7 × 32 = 224,
1/7 = 1 × 32/7 × 32 = 32/224
Likewise, for the 2nd fraction, since 32 × 7 = 224,
70/32 = 70 × 7/32 × 7 = 490/224
Add the two like fractions:
32/224 + 490/224 = 32 + 490/224 = 522/224
522/224 simplified gives 261/112
So, 1/7 + 70/32 = 261/112
In mixed form: 237/112

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad