Add 40/30 and 75/64
1st number: 1 10/30, 2nd number: 1 11/64
40/30 + 75/64 is 481/192.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 30 × 32 = 960,
40/30 = 40 × 32/30 × 32 = 1280/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
75/64 = 75 × 15/64 × 15 = 1125/960 - Add the two like fractions:
1280/960 + 1125/960 = 1280 + 1125/960 = 2405/960 - 2405/960 simplified gives 481/192
- So, 40/30 + 75/64 = 481/192
In mixed form: 297/192
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