Add 7/20 and 45/84
7/20 + 45/84 is 31/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
7/20 = 7 × 21/20 × 21 = 147/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
147/420 + 225/420 = 147 + 225/420 = 372/420 - 372/420 simplified gives 31/35
- So, 7/20 + 45/84 = 31/35
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