Add 7/45 and 40/84
7/45 + 40/84 is 199/315.
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,
7/45 = 7 × 28/45 × 28 = 196/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Add the two like fractions:
196/1260 + 600/1260 = 196 + 600/1260 = 796/1260 - 796/1260 simplified gives 199/315
- So, 7/45 + 40/84 = 199/315
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