Add 42/40 and 75/84
1st number: 1 2/40, 2nd number: 75/84
42/40 + 75/84 is 68/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 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 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840 - Add the two like fractions:
882/840 + 750/840 = 882 + 750/840 = 1632/840 - 1632/840 simplified gives 68/35
- So, 42/40 + 75/84 = 68/35
In mixed form: 133/35
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