Add 40/96 and 7/49
40/96 + 7/49 is 47/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 49 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 96 × 49 = 4704,
40/96 = 40 × 49/96 × 49 = 1960/4704 - Likewise, for the 2nd fraction, since 49 × 96 = 4704,
7/49 = 7 × 96/49 × 96 = 672/4704 - Add the two like fractions:
1960/4704 + 672/4704 = 1960 + 672/4704 = 2632/4704 - 2632/4704 simplified gives 47/84
- So, 40/96 + 7/49 = 47/84
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