Add 45/84 and 15/40
45/84 + 15/40 is 51/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
45/84 = 45 × 10/84 × 10 = 450/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
15/40 = 15 × 21/40 × 21 = 315/840 - Add the two like fractions:
450/840 + 315/840 = 450 + 315/840 = 765/840 - 765/840 simplified gives 51/56
- So, 45/84 + 15/40 = 51/56
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