Add 30/32 and 30/42
30/32 + 30/42 is 185/112.
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,
30/42 = 30 × 16/42 × 16 = 480/672 - Add the two like fractions:
630/672 + 480/672 = 630 + 480/672 = 1110/672 - 1110/672 simplified gives 185/112
- So, 30/32 + 30/42 = 185/112
In mixed form: 173/112
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