Add 10/45 and 30/64
10/45 + 30/64 is 199/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
10/45 = 10 × 64/45 × 64 = 640/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
30/64 = 30 × 45/64 × 45 = 1350/2880 - Add the two like fractions:
640/2880 + 1350/2880 = 640 + 1350/2880 = 1990/2880 - 1990/2880 simplified gives 199/288
- So, 10/45 + 30/64 = 199/288
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