Add 10/75 and 45/49
10/75 + 45/49 is 773/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
10/75 = 10 × 49/75 × 49 = 490/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
45/49 = 45 × 75/49 × 75 = 3375/3675 - Add the two like fractions:
490/3675 + 3375/3675 = 490 + 3375/3675 = 3865/3675 - 3865/3675 simplified gives 773/735
- So, 10/75 + 45/49 = 773/735
In mixed form: 138/735
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