Add 30/45 and 35/56
30/45 + 35/56 is 31/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 45 × 56 = 2520,
30/45 = 30 × 56/45 × 56 = 1680/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
35/56 = 35 × 45/56 × 45 = 1575/2520 - Add the two like fractions:
1680/2520 + 1575/2520 = 1680 + 1575/2520 = 3255/2520 - 3255/2520 simplified gives 31/24
- So, 30/45 + 35/56 = 31/24
In mixed form: 17/24
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