Add 42/40 and 75/42
1st number: 1 2/40, 2nd number: 1 33/42
42/40 + 75/42 is 397/140.
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,
42/40 = 42 × 21/40 × 21 = 882/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
75/42 = 75 × 20/42 × 20 = 1500/840 - Add the two like fractions:
882/840 + 1500/840 = 882 + 1500/840 = 2382/840 - 2382/840 simplified gives 397/140
- So, 42/40 + 75/42 = 397/140
In mixed form: 2117/140
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