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 = [tex]4\frac{1}{2}[/tex] Convert mixed fraction to improper fraction
0.7x = [tex]\frac{(4*2)+1}{2}[/tex] Multiply the whole number by the denominator and add it to the numerator
0.7x = [tex]\frac{9}{2}[/tex] Now isolate 'x'
0.7x/0.7 = [tex]\frac{9}{2}/0.7[/tex] Divide both sides by 0.7
x = [tex]\frac{9}{2}/0.7[/tex] Simplify right side
x = [tex]\frac{9}{2}/\frac{7}{10}[/tex] Rewrite 0.7 as a fraction
x = [tex]\frac{9}{2}*\frac{10}{7}[/tex] To divide, you multiply a flipped fraction
x = [tex]\frac{9*10}{2*7}[/tex] 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
