Question

Enter the fraction that the decimal represents reduced to the lowest form. Answer the questions that follow. Decimal Fraction Words 0.75 seventy-five hundredths How many nickels and quarters represent 0.75? nickels: quarters:​

Answer 1

3/4 15 3

Explanation:

To convert 0.75 to a fraction:

Divide it by 1:
`(0.75)/(1)`

Multiply both the top and bottom by 100:
`(0.75)/(1)*(100)/(100)=(75)/(100)` (this is called a decimal fraction)

Simplify the fraction by dividing both the top and bottom by 25:

`(75/ 25)/(100/25)=(3)/(4)` (this is called a common fraction)

1 cent = 0.01 = 1/100 = 1 hundredth

1 nickel is worth 5 cents = 0.05 = 5/100 = 5 hundredths

1 quarter is worth 25 cents = 0.25 = 25/100 = 25 hundredths

Therefore, to calculate how many nickels represent 0.75 (75 hundredths) divide 75 by 5:

75 ÷ 5 = 15

To calculate how many quarters represent 0.75 (75 hundredths) divide 75 by 25:

75 ÷ 25 = 3