Add 30/32 and 10/42
30/32 + 10/42 is 395/336.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 42 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
10/42 = 10 × 16/42 × 16 = 160/672 - Add the two like fractions:
630/672 + 160/672 = 630 + 160/672 = 790/672 - 790/672 simplified gives 395/336
- So, 30/32 + 10/42 = 395/336
In mixed form: 159/336
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