How many quarters equals 872 pennies?

Answer 1

Conversion factor:

1 quarter = 25 pennies

You can express conversion factors as a fraction, with one side of the equation in the numerator (top) and the other side in the denominator (bottom) of the fraction.

Example: (1 quarter / 25 pennies) or (25 pennies / 1 quarter)

You want to pick the fractional form of the conversion that cancels out pennies (because you want to convert pennies to quarters). Remember, units can cancel out just like any other factor. Multiply that conversion by what you are trying to convert.

872 pennies x (1 quarter / 25 pennies ) = 872/25 quarters.

872/25 = 34.88, but it doesn't make since to have 0.88 of a quarter.

34 + 0.88 = 34.88

We have 34 quarters and need to convert the 0.88 back to pennies.

Use the conversion factor again:

( 0.88 quarters ) x (25 pennies / 1 quarter) = .88 x 25 pennies = 22 pennies

Therefore your answer is:

34 quarters and 22 pennies.

If the question strictly asked for how many quarters, than you could express it as a decimal (34.88 quarters), it just does not make a whole lot of sense.