Question

11 1/4 divided by 2 1/2

Answer 1

4.5

Explanation:

Conversion a mixed number 11 1/4 to a improper fraction: 11 1/4 = 11 1/4 = 11 · 4 + 1/4 = 44 + 1/4 = 45/4

To find a new numerator:

a) Multiply the whole number 11 by the denominator 4. Whole number 11 equally 11 * 4/4 = 44/4

b) Add the answer from previous step 44 to the numerator 1. New numerator is 44 + 1 = 45

c) Write a previous answer (new numerator 45) over the denominator 4.

Eleven and one quarter is forty-five quartersConversion a mixed number 2 1/2 to a improper fraction: 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/2 = 4/2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfsDivide: 45/4 : 5/2 = 45/4 · 2/5 = 45 · 2/4 · 5 = 90/20 = 10 · 9/10 · 2 = 9/2

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/2 is 2/5) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 10 gives 9/2.

In other words - forty-five quarters divided by five halfs = nine halfs.

Answer 2

Divide 11 x 4 +1 / 4 by 2 x 2 + 1 / 2 by multiplying 11 x 4 + 1 / 4 by the reciprocal of 2 x 2 + 1 / 2.

• ( 11 x 4 + 1) x 2 / 4 x (2 x 2 + 1)

Cancel 2 in both the numerator and denominator.

• 1 + 4 x 11 / 2 (1 + 2 x 2 )

Multiply 4 and 11 to get 44.

• 1 + 44 / 2 (1 + 2 x 2 )

Add 1 and 44 to get 45.

• 45 / 2 (1 + 2 x 2 )

Multiply 2 and 2 to get 4.

• 45 / 2 (1 + 4 )

Add 1 and 4 to get 5.

• 45 / 2 x 5

Multiply 2 and 5 to get 10.

• 45/10

Reduce the fraction 45/10 to its lowest expression by extracting and canceling 5.

• 9 / 2 ====> Answer