Add 40/75 and 7/32
40/75 + 7/32 is 361/480.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
40/75 = 40 × 32/75 × 32 = 1280/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
7/32 = 7 × 75/32 × 75 = 525/2400 - Add the two like fractions:
1280/2400 + 525/2400 = 1280 + 525/2400 = 1805/2400 - 1805/2400 simplified gives 361/480
- So, 40/75 + 7/32 = 361/480
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