Add 40/42 and 90/98
40/42 + 90/98 is 275/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
40/42 = 40 × 7/42 × 7 = 280/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
90/98 = 90 × 3/98 × 3 = 270/294 - Add the two like fractions:
280/294 + 270/294 = 280 + 270/294 = 550/294 - 550/294 simplified gives 275/147
- So, 40/42 + 90/98 = 275/147
In mixed form: 1128/147
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