Question

Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flour does Nelson need in all?

Answer 1

6 5/12 cups.

Explanation:

3 3/4 + 2 2/3

= 3 + 2 + 3/4 + 2/3

= 5 + 3/4 + 2/3

The LCM of 4 and 3 is 12 so we have:

5 + 9/12 + 8/12

= 5 + 17/12

= 5 + 1 5/12

= 6 5/12.

Answer 2

that is 6 and 5/ 12 cups of flour are required

Explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

`6 (5)/( 12)`

that is 6 and 5/ 12 cups of flour are required.