Add 8/35 and 45/48
8/35 + 45/48 is 653/560.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 35 × 48 = 1680,
8/35 = 8 × 48/35 × 48 = 384/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
45/48 = 45 × 35/48 × 35 = 1575/1680 - Add the two like fractions:
384/1680 + 1575/1680 = 384 + 1575/1680 = 1959/1680 - 1959/1680 simplified gives 653/560
- So, 8/35 + 45/48 = 653/560
In mixed form: 193/560
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