Add 40/10 and 30/84
1st number: 4 0/10, 2nd number: 30/84
40/10 + 30/84 is 61/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
40/10 = 40 × 42/10 × 42 = 1680/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Add the two like fractions:
1680/420 + 150/420 = 1680 + 150/420 = 1830/420 - 1830/420 simplified gives 61/14
- So, 40/10 + 30/84 = 61/14
In mixed form: 45/14
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