Add 75/7 and 21/24
1st number: 10 5/7, 2nd number: 21/24
75/7 + 21/24 is 649/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 7 × 24 = 168,
75/7 = 75 × 24/7 × 24 = 1800/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Add the two like fractions:
1800/168 + 147/168 = 1800 + 147/168 = 1947/168 - 1947/168 simplified gives 649/56
- So, 75/7 + 21/24 = 649/56
In mixed form: 1133/56
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