Add 75/8 and 21/49
1st number: 9 3/8, 2nd number: 21/49
75/8 + 21/49 is 549/56.
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,
75/8 = 75 × 49/8 × 49 = 3675/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
21/49 = 21 × 8/49 × 8 = 168/392 - Add the two like fractions:
3675/392 + 168/392 = 3675 + 168/392 = 3843/392 - 3843/392 simplified gives 549/56
- So, 75/8 + 21/49 = 549/56
In mixed form: 945/56
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