Add 30/35 and 49/72
30/35 + 49/72 is 775/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 72 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 35 × 72 = 2520,
30/35 = 30 × 72/35 × 72 = 2160/2520 - Likewise, for the 2nd fraction, since 72 × 35 = 2520,
49/72 = 49 × 35/72 × 35 = 1715/2520 - Add the two like fractions:
2160/2520 + 1715/2520 = 2160 + 1715/2520 = 3875/2520 - 3875/2520 simplified gives 775/504
- So, 30/35 + 49/72 = 775/504
In mixed form: 1271/504
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