Add 30/20 and 45/42
1st number: 1 10/20, 2nd number: 1 3/42
30/20 + 45/42 is 18/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
30/20 = 30 × 21/20 × 21 = 630/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
45/42 = 45 × 10/42 × 10 = 450/420 - Add the two like fractions:
630/420 + 450/420 = 630 + 450/420 = 1080/420 - 1080/420 simplified gives 18/7
- So, 30/20 + 45/42 = 18/7
In mixed form: 24/7
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