Add 40/70 and 75/84
40/70 + 75/84 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 70 × 6 = 420,
40/70 = 40 × 6/70 × 6 = 240/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
240/420 + 375/420 = 240 + 375/420 = 615/420 - 615/420 simplified gives 41/28
- So, 40/70 + 75/84 = 41/28
In mixed form: 113/28
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