Add 27/75 and 42/98
27/75 + 42/98 is 138/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
27/75 = 27 × 98/75 × 98 = 2646/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
42/98 = 42 × 75/98 × 75 = 3150/7350 - Add the two like fractions:
2646/7350 + 3150/7350 = 2646 + 3150/7350 = 5796/7350 - 5796/7350 simplified gives 138/175
- So, 27/75 + 42/98 = 138/175
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