Add 10/6 and 45/7
1st number: 1 4/6, 2nd number: 6 3/7
10/6 + 45/7 is 170/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
10/6 = 10 × 7/6 × 7 = 70/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
45/7 = 45 × 6/7 × 6 = 270/42 - Add the two like fractions:
70/42 + 270/42 = 70 + 270/42 = 340/42 - 340/42 simplified gives 170/21
- So, 10/6 + 45/7 = 170/21
In mixed form: 82/21
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