Add 9/40 and 75/84
9/40 + 75/84 is 313/280.
Steps for adding fractions
- 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,
9/40 = 9 × 21/40 × 21 = 189/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840 - Add the two like fractions:
189/840 + 750/840 = 189 + 750/840 = 939/840 - 939/840 simplified gives 313/280
- So, 9/40 + 75/84 = 313/280
In mixed form: 133/280
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