Add 75/40 and 30/42
1st number: 1 35/40, 2nd number: 30/42
75/40 + 30/42 is 145/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Add the two like fractions:
1575/840 + 600/840 = 1575 + 600/840 = 2175/840 - 2175/840 simplified gives 145/56
- So, 75/40 + 30/42 = 145/56
In mixed form: 233/56
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