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mylen [45]
2 years ago
10

Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than

7/12.
Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.

2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

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<em />

(where <em>n</em> is any integer)

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