How do you add one and three fourths by one and one half?

Answer 1

The easiest way is to:

1. Convert the mixed numbers into improper fractions
2. Make the improper fractions into equivalent fractions with a common denominator
3. Add the fractions normally (add the numerators)
4. Simplify the result (if possible)
5. Convert any improper fraction back into a mixed number (if required)

13/4 + 11/2 = (1x4+3)/4 + (1x2+1)/2

= 7/4 + 3/2

= 7/4 + (3x2)/(2x2)

= 7/4 + 6/4

= (7+6)/4

= 13/4

= (3x4+1)/4

= 31/4