Add 45/49 and 18/32
45/49 + 18/32 is 1161/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
45/49 = 45 × 32/49 × 32 = 1440/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
18/32 = 18 × 49/32 × 49 = 882/1568 - Add the two like fractions:
1440/1568 + 882/1568 = 1440 + 882/1568 = 2322/1568 - 2322/1568 simplified gives 1161/784
- So, 45/49 + 18/32 = 1161/784
In mixed form: 1377/784
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