Add 30/80 and 40/42
30/80 + 40/42 is 223/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 42 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 80 × 21 = 1680,
30/80 = 30 × 21/80 × 21 = 630/1680 - Likewise, for the 2nd fraction, since 42 × 40 = 1680,
40/42 = 40 × 40/42 × 40 = 1600/1680 - Add the two like fractions:
630/1680 + 1600/1680 = 630 + 1600/1680 = 2230/1680 - 2230/1680 simplified gives 223/168
- So, 30/80 + 40/42 = 223/168
In mixed form: 155/168
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