Add 40/70 and 9/64
40/70 + 9/64 is 319/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 70 × 32 = 2240,
40/70 = 40 × 32/70 × 32 = 1280/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
9/64 = 9 × 35/64 × 35 = 315/2240 - Add the two like fractions:
1280/2240 + 315/2240 = 1280 + 315/2240 = 1595/2240 - 1595/2240 simplified gives 319/448
- So, 40/70 + 9/64 = 319/448
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