Add 30/48 and 49/70
30/48 + 49/70 is 53/40.
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,
30/48 = 30 × 35/48 × 35 = 1050/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
49/70 = 49 × 24/70 × 24 = 1176/1680 - Add the two like fractions:
1050/1680 + 1176/1680 = 1050 + 1176/1680 = 2226/1680 - 2226/1680 simplified gives 53/40
- So, 30/48 + 49/70 = 53/40
In mixed form: 113/40
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