Add 30/64 and 40/63
30/64 + 40/63 is 2225/2016.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 63 is 4032
Next, find the equivalent fraction of both fractional numbers with denominator 4032 - For the 1st fraction, since 64 × 63 = 4032,
30/64 = 30 × 63/64 × 63 = 1890/4032 - Likewise, for the 2nd fraction, since 63 × 64 = 4032,
40/63 = 40 × 64/63 × 64 = 2560/4032 - Add the two like fractions:
1890/4032 + 2560/4032 = 1890 + 2560/4032 = 4450/4032 - 4450/4032 simplified gives 2225/2016
- So, 30/64 + 40/63 = 2225/2016
In mixed form: 1209/2016
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