SOLUTION: How much greater is the value of (-2 1/8)(-4 1/8) than the value of 3 3/4�1 1/5? Express your answer as a mixed number.

Question 1055006: How much greater is the value of (-2 1/8)(-4 1/8) than the value of 3 3/4�1 1/5? Express your answer as a mixed number.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the first expression is greater than the second expression by 361/64.

expressed as a mixed fraction, the first expression is greater than the second expression by 5 and 41/64.

there are several ways to calculate this.

the easiest way is to use a calculator.

another way is to convert all the mixed fractions to improper fractions and solve.

another way is to work with the numbers as mixed fractions.

aside from using a calculator, i believe it's easier to convert the mixed fractions to improper fractions and work with them that way and then convert the answer to a mixed fraction.

-2 and 1/8 is equal to -17/8.
-4 and 1/8 is equal to -33/8.

-17/8 * -33/8 is equal to 561/64.

3 and 3/4 is equal to 15/4.
1 and 1/5 is equal to 6/5.

(15/4) / (6/5) is equal to (15/4) * (5/6) which is equal to 75/24.

to find the difference, you want to subtract 75/24 from 561/64.

561/64 - 75/24 can't be subtracted easily (if at all) unless the denominators are the same.

multiply 561/64 by 3/3 to get 1683/192.

multiply 75/24 by 8/8 to get 600/192.

1683/192 minus 600/192 is equal to (1683 - 600) / 192 which is equal to 1083/192.

divide numerator and denominator by 3 and you get 361/64.

that's your answer in improper fraction format.

convert to mixed fraction format to get 5 and 41/64.

convert that to decimal form and you get 5.640625.

confirm that this is the correct answer by using your calculator.

in your calculator, do the following:

(-2 - 1/8) * (-4 - 1/8) - (3 + 3/4) / (1 + 1/5)

if you did it right, the answer will be 5.640625, confirming the manually generated solution is correct.

RELATED QUESTIONS
There are 2 1/2a's in 4 1/6. What is the value of a? Express your answer as a mixed... (answered by stanbon)

Given that a/b = 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10 , such that... (answered by ikleyn)

Hello...I have several questions, i have worked all of them but do not understand the... (answered by albert)

Point A is located on a number line at 2 5/8 and point B is located on a number line at 5 (answered by TimothyLamb)

What percent of 1/2 is 2/3? Express your answer as a mixed number with a... (answered by josgarithmetic)

The absolute value of -6 minus the absolute value of -2 is 1)-8 2)-4 3)8... (answered by actuary,anantha)

Which fraction has a value greater than 1/5? 1/10, 1/11, 1/8, or 1/4 or none of the... (answered by 0193)

8^n/3 = 1/4 then what is the value of n^n ? a -4 b -1/2 c - 1/4 d 1/4 e (answered by stanbon)

A spinner is divided into eight sections of equal size, numbered 1, 2, 3, 4, 5, 6, 7 and... (answered by MathLover1)