INSTRUCTIONS

The following image was made from Divide Fractions-Strict:

Divide Fractions-Strict is similar to the previous program DIVIDE FRACTIONS except that the divisor may be larger than the dividend and the quotient may be a mixed number.

You can see from the image that 1 1/9 of the divisor will fit into the dividend. To see how this happens, think of 1 2/3 as 10/6 and 1 1/2 as 9/6. The numerator of the divisor 9 will fit 1 1/9 times into the numerator of the dividend 10.

See the program MIXED NUMBERS for information on writing fractions in mixed form.

See the program RENAME IN LOWEST TERMS for information on writing fractions in lowest terms.

To calculate the quotient,  first write the dividend and the divisor in fraction form as shown in the example below. Then multiply 3/5 by the reciprocal of the divisor. The reciprocal of the divisor is found by  replacing the numerator with the denominator and replacing the denominator with the numerator. In short, divide by 8/5 by multiplying by 5/8.

See MULTIPLY FRACTIONS  for instructions on how to multiply fractions.

See MULTIPLICATIVE INVERSE for more information on how to find the inverse or reciprocal.

Written out, the example would look like this:

The quotient must be written as a mixed number and in lowest terms.