Add 20/75 and 45/56
20/75 + 45/56 is 899/840.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
20/75 = 20 × 56/75 × 56 = 1120/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
45/56 = 45 × 75/56 × 75 = 3375/4200 - Add the two like fractions:
1120/4200 + 3375/4200 = 1120 + 3375/4200 = 4495/4200 - 4495/4200 simplified gives 899/840
- So, 20/75 + 45/56 = 899/840
In mixed form: 159/840
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