Add 42/45 and 16/18
42/45 + 16/18 is 82/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
42/45 = 42 × 2/45 × 2 = 84/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
16/18 = 16 × 5/18 × 5 = 80/90 - Add the two like fractions:
84/90 + 80/90 = 84 + 80/90 = 164/90 - 164/90 simplified gives 82/45
- So, 42/45 + 16/18 = 82/45
In mixed form: 137/45
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