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:

3/4     15    3

Step-by-step explanation:

To convert 0.75 to a fraction:

Divide it by 1:    

Multiply both the top and bottom by 100:   (this is called a decimal fraction)

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

(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

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm