Add 27/48 and 64/70
27/48 + 64/70 is 827/560.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 70 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 48 × 35 = 1680,
27/48 = 27 × 35/48 × 35 = 945/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
64/70 = 64 × 24/70 × 24 = 1536/1680 - Add the two like fractions:
945/1680 + 1536/1680 = 945 + 1536/1680 = 2481/1680 - 2481/1680 simplified gives 827/560
- So, 27/48 + 64/70 = 827/560
In mixed form: 1267/560
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