Add 42/98 and 10/75
42/98 + 10/75 is 59/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 75 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 98 × 75 = 7350,
42/98 = 42 × 75/98 × 75 = 3150/7350 - Likewise, for the 2nd fraction, since 75 × 98 = 7350,
10/75 = 10 × 98/75 × 98 = 980/7350 - Add the two like fractions:
3150/7350 + 980/7350 = 3150 + 980/7350 = 4130/7350 - 4130/7350 simplified gives 59/105
- So, 42/98 + 10/75 = 59/105
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