Add 27/70 and 40/48
27/70 + 40/48 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 70 × 24 = 1680,
27/70 = 27 × 24/70 × 24 = 648/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
40/48 = 40 × 35/48 × 35 = 1400/1680 - Add the two like fractions:
648/1680 + 1400/1680 = 648 + 1400/1680 = 2048/1680 - 2048/1680 simplified gives 128/105
- So, 27/70 + 40/48 = 128/105
In mixed form: 123/105
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