Add 70/30 and 75/42
1st number: 2 10/30, 2nd number: 1 33/42
70/30 + 75/42 is 173/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
70/30 = 70 × 7/30 × 7 = 490/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Add the two like fractions:
490/210 + 375/210 = 490 + 375/210 = 865/210 - 865/210 simplified gives 173/42
- So, 70/30 + 75/42 = 173/42
In mixed form: 45/42
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