Add 70/84 and 40/45
70/84 + 40/45 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
70/84 = 70 × 15/84 × 15 = 1050/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Add the two like fractions:
1050/1260 + 1120/1260 = 1050 + 1120/1260 = 2170/1260 - 2170/1260 simplified gives 31/18
- So, 70/84 + 40/45 = 31/18
In mixed form: 113/18
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