Add 10/32 and 45/49
10/32 + 45/49 is 965/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 49 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 32 × 49 = 1568,
10/32 = 10 × 49/32 × 49 = 490/1568 - Likewise, for the 2nd fraction, since 49 × 32 = 1568,
45/49 = 45 × 32/49 × 32 = 1440/1568 - Add the two like fractions:
490/1568 + 1440/1568 = 490 + 1440/1568 = 1930/1568 - 1930/1568 simplified gives 965/784
- So, 10/32 + 45/49 = 965/784
In mixed form: 1181/784
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