Add 40/49 and 15/40
40/49 + 15/40 is 467/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
15/40 = 15 × 49/40 × 49 = 735/1960 - Add the two like fractions:
1600/1960 + 735/1960 = 1600 + 735/1960 = 2335/1960 - 2335/1960 simplified gives 467/392
- So, 40/49 + 15/40 = 467/392
In mixed form: 175/392
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