Add 3/10 and 42/45
3/10 + 42/45 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
3/10 = 3 × 9/10 × 9 = 27/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
42/45 = 42 × 2/45 × 2 = 84/90 - Add the two like fractions:
27/90 + 84/90 = 27 + 84/90 = 111/90 - 111/90 simplified gives 37/30
- So, 3/10 + 42/45 = 37/30
In mixed form: 17/30
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