Add 75/10 and 28/42
1st number: 7 5/10, 2nd number: 28/42
75/10 + 28/42 is 49/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
75/10 = 75 × 21/10 × 21 = 1575/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
28/42 = 28 × 5/42 × 5 = 140/210 - Add the two like fractions:
1575/210 + 140/210 = 1575 + 140/210 = 1715/210 - 1715/210 simplified gives 49/6
- So, 75/10 + 28/42 = 49/6
In mixed form: 81/6
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