Add 27/48 and 40/70
27/48 + 40/70 is 127/112.
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,
40/70 = 40 × 24/70 × 24 = 960/1680 - Add the two like fractions:
945/1680 + 960/1680 = 945 + 960/1680 = 1905/1680 - 1905/1680 simplified gives 127/112
- So, 27/48 + 40/70 = 127/112
In mixed form: 115/112
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