Add 30/84 and 42/40
1st number: 30/84, 2nd number: 1 2/40
30/84 + 42/40 is 197/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
30/84 = 30 × 10/84 × 10 = 300/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
42/40 = 42 × 21/40 × 21 = 882/840 - Add the two like fractions:
300/840 + 882/840 = 300 + 882/840 = 1182/840 - 1182/840 simplified gives 197/140
- So, 30/84 + 42/40 = 197/140
In mixed form: 157/140
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