Diana ran a total of 9 3/4 miles over three days. She runs the same distance each day. How many miles did Diana run each day?
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Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
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<em><u>Solution:</u></em>
Given that,
We have to factor out terms and write as a product of 2 binomials and monomial
A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.
From given expression,
3 and a are common factors in second bracket
Hence, the product of two binomial is written in two binomial and a monomial