Add 40/30 and 45/14
1st number: 1 10/30, 2nd number: 3 3/14
40/30 + 45/14 is 191/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
45/14 = 45 × 15/14 × 15 = 675/210 - Add the two like fractions:
280/210 + 675/210 = 280 + 675/210 = 955/210 - 955/210 simplified gives 191/42
- So, 40/30 + 45/14 = 191/42
In mixed form: 423/42
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