Add 8/40 and 75/42
1st number: 8/40, 2nd number: 1 33/42
8/40 + 75/42 is 139/70.
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,
8/40 = 8 × 21/40 × 21 = 168/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
75/42 = 75 × 20/42 × 20 = 1500/840 - Add the two like fractions:
168/840 + 1500/840 = 168 + 1500/840 = 1668/840 - 1668/840 simplified gives 139/70
- So, 8/40 + 75/42 = 139/70
In mixed form: 169/70
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