Add 75/42 and 9/32
1st number: 1 33/42, 2nd number: 9/32
75/42 + 9/32 is 463/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
75/42 = 75 × 16/42 × 16 = 1200/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
9/32 = 9 × 21/32 × 21 = 189/672 - Add the two like fractions:
1200/672 + 189/672 = 1200 + 189/672 = 1389/672 - 1389/672 simplified gives 463/224
- So, 75/42 + 9/32 = 463/224
In mixed form: 215/224
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