Add 28/49 and 42/56
28/49 + 42/56 is 37/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
28/49 = 28 × 8/49 × 8 = 224/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
42/56 = 42 × 7/56 × 7 = 294/392 - Add the two like fractions:
224/392 + 294/392 = 224 + 294/392 = 518/392 - 518/392 simplified gives 37/28
- So, 28/49 + 42/56 = 37/28
In mixed form: 19/28
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