Add 4/7 and 30/32
4/7 + 30/32 is 169/112.
Steps for adding fractions
- 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,
4/7 = 4 × 32/7 × 32 = 128/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Add the two like fractions:
128/224 + 210/224 = 128 + 210/224 = 338/224 - 338/224 simplified gives 169/112
- So, 4/7 + 30/32 = 169/112
In mixed form: 157/112
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