Question

Can anybody please help me with this question

Answer 1

Explanation:

`(a)`

`2:(3)/(4)`

Multiply both sides by 4 to remove fraction:

`2*4:(3)/(4) * 4`

`8:3` (this is simplest form because no number goes into both 8 and 3)

`(b)`

5 cups of flower:

`8 * (5)/(8) : 3 * (5)/(8)` (I chose
`(5)/(8)` to turn the 8 into 5)

`5:(15)/(8)`

5 cups flour needs
`(15)/(8)` (
`=1(7)/(8)`) cups water

Answer 2

(a) 8 : 3

(b) 1 7/8 cups

Explanation:

Given a recipe that calls for 2 cups of flour and 3/4 cup of water, you want to know the ratio in simplest terms, and the amount of water for 5 cups of flour.

Simplified ratio

The ratio can be written and simplified as a fraction. Fractions are divided in the usual way.

2/(3/4) = 2 ÷ 3/4 = 2 × 4/3 = 8/3 = 8 : 3

5 cups flour

If we multiply each term in this ratio by 5/8, we can find the recipe that uses 5 cups of flour:

(5/8)·8 : (5/8)·3 = 5 : 15/8 = 5 : 1 7/8

Naomi uses 1 7/8 cups of water with 5 cups of flour.