Add 10/27 and 70/21, Solve 10/27 + 3 7/21 as a fraction

Add 10/27 and 70/21

1^st number: 10/27, 2^nd number: 3 7/21

10/27 + 70/21 is 100/27.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 27 × 7 = 189,
10/27 = 10 × 7/27 × 7 = 70/189
Likewise, for the 2nd fraction, since 21 × 9 = 189,
70/21 = 70 × 9/21 × 9 = 630/189
Add the two like fractions:
70/189 + 630/189 = 70 + 630/189 = 700/189
700/189 simplified gives 100/27
So, 10/27 + 70/21 = 100/27
In mixed form: 319/27

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