Add 30/56 and 75/90
30/56 + 75/90 is 115/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 90 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 56 × 45 = 2520,
30/56 = 30 × 45/56 × 45 = 1350/2520 - Likewise, for the 2nd fraction, since 90 × 28 = 2520,
75/90 = 75 × 28/90 × 28 = 2100/2520 - Add the two like fractions:
1350/2520 + 2100/2520 = 1350 + 2100/2520 = 3450/2520 - 3450/2520 simplified gives 115/84
- So, 30/56 + 75/90 = 115/84
In mixed form: 131/84
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