Add 70/90 and 40/84
70/90 + 40/84 is 79/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
70/90 = 70 × 14/90 × 14 = 980/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Add the two like fractions:
980/1260 + 600/1260 = 980 + 600/1260 = 1580/1260 - 1580/1260 simplified gives 79/63
- So, 70/90 + 40/84 = 79/63
In mixed form: 116/63
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