Add 4/40 and 42/49
4/40 + 42/49 is 67/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
4/40 = 4 × 49/40 × 49 = 196/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
42/49 = 42 × 40/49 × 40 = 1680/1960 - Add the two like fractions:
196/1960 + 1680/1960 = 196 + 1680/1960 = 1876/1960 - 1876/1960 simplified gives 67/70
- So, 4/40 + 42/49 = 67/70
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