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.
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