Add 16/45 and 40/96
16/45 + 40/96 is 139/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
16/45 = 16 × 32/45 × 32 = 512/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
40/96 = 40 × 15/96 × 15 = 600/1440 - Add the two like fractions:
512/1440 + 600/1440 = 512 + 600/1440 = 1112/1440 - 1112/1440 simplified gives 139/180
- So, 16/45 + 40/96 = 139/180
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