Add 8/9 and 21/40
8/9 + 21/40 is 509/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
8/9 = 8 × 40/9 × 40 = 320/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360 - Add the two like fractions:
320/360 + 189/360 = 320 + 189/360 = 509/360 - So, 8/9 + 21/40 = 509/360
In mixed form: 1149/360
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