Add 70/40 and 75/84, Solve 1 30/40 + 75/84 as a fraction

Add 70/40 and 75/84

1^st number: 1 30/40, 2^nd number: 75/84

70/40 + 75/84 is 37/14.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 40 × 21 = 840,
70/40 = 70 × 21/40 × 21 = 1470/840
Likewise, for the 2nd fraction, since 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840
Add the two like fractions:
1470/840 + 750/840 = 1470 + 750/840 = 2220/840
2220/840 simplified gives 37/14
So, 70/40 + 75/84 = 37/14
In mixed form: 29/14

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