Add 40/56 and 75/90
40/56 + 75/90 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 90 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 56 × 45 = 2520,
40/56 = 40 × 45/56 × 45 = 1800/2520 - Likewise, for the 2nd fraction, since 90 × 28 = 2520,
75/90 = 75 × 28/90 × 28 = 2100/2520 - Add the two like fractions:
1800/2520 + 2100/2520 = 1800 + 2100/2520 = 3900/2520 - 3900/2520 simplified gives 65/42
- So, 40/56 + 75/90 = 65/42
In mixed form: 123/42
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