Add 42/48 and 20/63
42/48 + 20/63 is 601/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 48 × 21 = 1008,
42/48 = 42 × 21/48 × 21 = 882/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
20/63 = 20 × 16/63 × 16 = 320/1008 - Add the two like fractions:
882/1008 + 320/1008 = 882 + 320/1008 = 1202/1008 - 1202/1008 simplified gives 601/504
- So, 42/48 + 20/63 = 601/504
In mixed form: 197/504
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