Add 2/10 and 40/84
2/10 + 40/84 is 71/105.
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,
2/10 = 2 × 42/10 × 42 = 84/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
84/420 + 200/420 = 84 + 200/420 = 284/420 - 284/420 simplified gives 71/105
- So, 2/10 + 40/84 = 71/105
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