Add 10/45 and 49/84
10/45 + 49/84 is 29/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
10/45 = 10 × 28/45 × 28 = 280/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
280/1260 + 735/1260 = 280 + 735/1260 = 1015/1260 - 1015/1260 simplified gives 29/36
- So, 10/45 + 49/84 = 29/36
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