Add 45/70 and 75/84
45/70 + 75/84 is 43/28.
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,
45/70 = 45 × 6/70 × 6 = 270/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
270/420 + 375/420 = 270 + 375/420 = 645/420 - 645/420 simplified gives 43/28
- So, 45/70 + 75/84 = 43/28
In mixed form: 115/28
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