Answer:
4.5
Step-by-step 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.
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.
Cancel 2 in both the numerator and denominator.
Multiply 4 and 11 to get 44.
Add 1 and 44 to get 45.
Multiply 2 and 2 to get 4.
Add 1 and 4 to get 5.
Multiply 2 and 5 to get 10.
Reduce the fraction 45/10 to its lowest expression by extracting and canceling 5.
