Add 70/72 and 42/84
70/72 + 42/84 is 53/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 84 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
70/72 = 70 × 7/72 × 7 = 490/504 - Likewise, for the 2nd fraction, since 84 × 6 = 504,
42/84 = 42 × 6/84 × 6 = 252/504 - Add the two like fractions:
490/504 + 252/504 = 490 + 252/504 = 742/504 - 742/504 simplified gives 53/36
- So, 70/72 + 42/84 = 53/36
In mixed form: 117/36
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