Add 42/90 and 75/32
1st number: 42/90, 2nd number: 2 11/32
42/90 + 75/32 is 1349/480.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 90 × 16 = 1440,
42/90 = 42 × 16/90 × 16 = 672/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
75/32 = 75 × 45/32 × 45 = 3375/1440 - Add the two like fractions:
672/1440 + 3375/1440 = 672 + 3375/1440 = 4047/1440 - 4047/1440 simplified gives 1349/480
- So, 42/90 + 75/32 = 1349/480
In mixed form: 2389/480
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