Question

0.7 of what number is 4 1/2?​

Answer 1

Answer:

x = 45/7

Step-by-step 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 = $4\frac{1}{2}$    Convert mixed fraction to improper fraction

0.7x = $\frac{(4*2)+1}{2}$     Multiply the whole number by the denominator and add it to the numerator

0.7x = $\frac{9}{2}$     Now isolate 'x'

0.7x/0.7 = $\frac{9}{2}/0.7$     Divide both sides by 0.7

x = $\frac{9}{2}/0.7$     Simplify right side

x = $\frac{9}{2}/\frac{7}{10}$     Rewrite 0.7 as a fraction

x = $\frac{9}{2}*\frac{10}{7}$     To divide, you multiply a flipped fraction

x = $\frac{9*10}{2*7}$     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