Add 4/15 and 42/49
4/15 + 42/49 is 118/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
4/15 = 4 × 49/15 × 49 = 196/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
42/49 = 42 × 15/49 × 15 = 630/735 - Add the two like fractions:
196/735 + 630/735 = 196 + 630/735 = 826/735 - 826/735 simplified gives 118/105
- So, 4/15 + 42/49 = 118/105
In mixed form: 113/105
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