Add 36/42 and 30/64
36/42 + 30/64 is 297/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
36/42 = 36 × 32/42 × 32 = 1152/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
30/64 = 30 × 21/64 × 21 = 630/1344 - Add the two like fractions:
1152/1344 + 630/1344 = 1152 + 630/1344 = 1782/1344 - 1782/1344 simplified gives 297/224
- So, 36/42 + 30/64 = 297/224
In mixed form: 173/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+30/64 36/42+60/64 36/84+30/64 36/42+90/64