Add 45/8 and 75/42
1st number: 5 5/8, 2nd number: 1 33/42
45/8 + 75/42 is 415/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
45/8 = 45 × 21/8 × 21 = 945/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
75/42 = 75 × 4/42 × 4 = 300/168 - Add the two like fractions:
945/168 + 300/168 = 945 + 300/168 = 1245/168 - 1245/168 simplified gives 415/56
- So, 45/8 + 75/42 = 415/56
In mixed form: 723/56
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