Add 45/70 and 30/48
45/70 + 30/48 is 71/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 70 × 24 = 1680,
45/70 = 45 × 24/70 × 24 = 1080/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
30/48 = 30 × 35/48 × 35 = 1050/1680 - Add the two like fractions:
1080/1680 + 1050/1680 = 1080 + 1050/1680 = 2130/1680 - 2130/1680 simplified gives 71/56
- So, 45/70 + 30/48 = 71/56
In mixed form: 115/56
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