Add 21/49 and 45/32
1st number: 21/49, 2nd number: 1 13/32
21/49 + 45/32 is 411/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
21/49 = 21 × 32/49 × 32 = 672/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
45/32 = 45 × 49/32 × 49 = 2205/1568 - Add the two like fractions:
672/1568 + 2205/1568 = 672 + 2205/1568 = 2877/1568 - 2877/1568 simplified gives 411/224
- So, 21/49 + 45/32 = 411/224
In mixed form: 1187/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+45/32 21/49+90/32 21/98+45/32 21/49+45/64 63/49+45/32 21/49+45/96