Add 40/60 and 45/64
40/60 + 45/64 is 263/192.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 60 × 16 = 960,
40/60 = 40 × 16/60 × 16 = 640/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
45/64 = 45 × 15/64 × 15 = 675/960 - Add the two like fractions:
640/960 + 675/960 = 640 + 675/960 = 1315/960 - 1315/960 simplified gives 263/192
- So, 40/60 + 45/64 = 263/192
In mixed form: 171/192
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