Question

0.7 of what number is 4 1/2?​

Answer 1

x = 45/7

Explanation:

Write as an algebraic equation.

Look at each part in the word question : 0.7 of what number is 4 1/2

"0.7 of what number" can be written as 0.7x

The word "is" means equals.

0.7x = 4 1/2 <= The equation, using 'x' to represent the number.

To find the number, isolate 'x'.

0.7x =
`4(1)/(2)` Convert mixed fraction to improper fraction

0.7x =
`((4*2)+1)/(2)` Multiply the whole number by the denominator and add it to the numerator

0.7x =
`(9)/(2)` Now isolate 'x'

0.7x/0.7 =
`(9)/(2)/0.7` Divide both sides by 0.7

x =
`(9)/(2)/0.7` Simplify right side

x =
`(9)/(2)/(7)/(10)` Rewrite 0.7 as a fraction

x =
`(9)/(2)*(10)/(7)` To divide, you multiply a flipped fraction

x =
`(9*10)/(2*7)` Multiply across the top and across the bottom

x = 90/14 Reduce to lowest terms. Top and bottom are divisible by 2

x = 45/7 Answer