Add 42/98 and 7/40
42/98 + 7/40 is 169/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
42/98 = 42 × 20/98 × 20 = 840/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
7/40 = 7 × 49/40 × 49 = 343/1960 - Add the two like fractions:
840/1960 + 343/1960 = 840 + 343/1960 = 1183/1960 - 1183/1960 simplified gives 169/280
- So, 42/98 + 7/40 = 169/280
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