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pentagon [3]
3 years ago
8

George read 15 pages in a book in 12 minutes. At this rate, how long will it take him to finish the book if it has 85 pages?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

Set up a ratio in the form of pages/minute:

\frac{pages}{minute} :

then fill in next to that how many pages per minute George can read:

\frac{pages}{minute}:\frac{15}{12}

Now we want to figure out how long (time is our unknown, so we call that x) it will take him to read 85 pages.  The 85 goes in a ratio on the same line as the other number of pages:

\frac{pages}{minute}:\frac{15}{12}=\frac{85}{x}

Cross multiply to get 15x = 1020

Now divide both sides by 15 to get x = 68 minutes, which is an hour and 8 minutes.

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You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

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So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

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In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

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The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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