Add 45/75 and 35/56
45/75 + 35/56 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
45/75 = 45 × 56/75 × 56 = 2520/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
35/56 = 35 × 75/56 × 75 = 2625/4200 - Add the two like fractions:
2520/4200 + 2625/4200 = 2520 + 2625/4200 = 5145/4200 - 5145/4200 simplified gives 49/40
- So, 45/75 + 35/56 = 49/40
In mixed form: 19/40
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