Add 40/70 and 45/84
40/70 + 45/84 is 31/28.
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,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
240/420 + 225/420 = 240 + 225/420 = 465/420 - 465/420 simplified gives 31/28
- So, 40/70 + 45/84 = 31/28
In mixed form: 13/28
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