Add 35/49 and 75/8
1st number: 35/49, 2nd number: 9 3/8
35/49 + 75/8 is 565/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 8 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
35/49 = 35 × 8/49 × 8 = 280/392 - Likewise, for the 2nd fraction, since 8 × 49 = 392,
75/8 = 75 × 49/8 × 49 = 3675/392 - Add the two like fractions:
280/392 + 3675/392 = 280 + 3675/392 = 3955/392 - 3955/392 simplified gives 565/56
- So, 35/49 + 75/8 = 565/56
In mixed form: 105/56
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