Add 49/63 and 27/40
49/63 + 27/40 is 523/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 40 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 63 × 40 = 2520,
49/63 = 49 × 40/63 × 40 = 1960/2520 - Likewise, for the 2nd fraction, since 40 × 63 = 2520,
27/40 = 27 × 63/40 × 63 = 1701/2520 - Add the two like fractions:
1960/2520 + 1701/2520 = 1960 + 1701/2520 = 3661/2520 - 3661/2520 simplified gives 523/360
- So, 49/63 + 27/40 = 523/360
In mixed form: 1163/360
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