Add 21/90 and 49/56
21/90 + 49/56 is 133/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 90 × 28 = 2520,
21/90 = 21 × 28/90 × 28 = 588/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
49/56 = 49 × 45/56 × 45 = 2205/2520 - Add the two like fractions:
588/2520 + 2205/2520 = 588 + 2205/2520 = 2793/2520 - 2793/2520 simplified gives 133/120
- So, 21/90 + 49/56 = 133/120
In mixed form: 113/120
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