Add 27/30 and 40/7
1st number: 27/30, 2nd number: 5 5/7
27/30 + 40/7 is 463/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Add the two like fractions:
189/210 + 1200/210 = 189 + 1200/210 = 1389/210 - 1389/210 simplified gives 463/70
- So, 27/30 + 40/7 = 463/70
In mixed form: 643/70
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