Add 21/8 and 42/49
1st number: 2 5/8, 2nd number: 42/49
21/8 + 42/49 is 195/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 8 × 49 = 392,
21/8 = 21 × 49/8 × 49 = 1029/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
42/49 = 42 × 8/49 × 8 = 336/392 - Add the two like fractions:
1029/392 + 336/392 = 1029 + 336/392 = 1365/392 - 1365/392 simplified gives 195/56
- So, 21/8 + 42/49 = 195/56
In mixed form: 327/56
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