Add 5/40 and 42/49
5/40 + 42/49 is 55/56.
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,
5/40 = 5 × 49/40 × 49 = 245/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
42/49 = 42 × 40/49 × 40 = 1680/1960 - Add the two like fractions:
245/1960 + 1680/1960 = 245 + 1680/1960 = 1925/1960 - 1925/1960 simplified gives 55/56
- So, 5/40 + 42/49 = 55/56
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