Add 14/48 and 49/70
14/48 + 49/70 is 119/120.
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,
14/48 = 14 × 35/48 × 35 = 490/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
49/70 = 49 × 24/70 × 24 = 1176/1680 - Add the two like fractions:
490/1680 + 1176/1680 = 490 + 1176/1680 = 1666/1680 - 1666/1680 simplified gives 119/120
- So, 14/48 + 49/70 = 119/120
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