Add 40/21 and 75/40
1st number: 1 19/21, 2nd number: 1 35/40
40/21 + 75/40 is 635/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
40/21 = 40 × 40/21 × 40 = 1600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Add the two like fractions:
1600/840 + 1575/840 = 1600 + 1575/840 = 3175/840 - 3175/840 simplified gives 635/168
- So, 40/21 + 75/40 = 635/168
In mixed form: 3131/168
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