Add 30/32 and 40/75
30/32 + 40/75 is 353/240.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 32 × 75 = 2400,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
40/75 = 40 × 32/75 × 32 = 1280/2400 - Add the two like fractions:
2250/2400 + 1280/2400 = 2250 + 1280/2400 = 3530/2400 - 3530/2400 simplified gives 353/240
- So, 30/32 + 40/75 = 353/240
In mixed form: 1113/240
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