Add 30/40 and 40/70
30/40 + 40/70 is 37/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
40/70 = 40 × 4/70 × 4 = 160/280 - Add the two like fractions:
210/280 + 160/280 = 210 + 160/280 = 370/280 - 370/280 simplified gives 37/28
- So, 30/40 + 40/70 = 37/28
In mixed form: 19/28
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