Question

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

Answer 1

Answer:

A fraction with a denominator of $4$ that is less than $\frac{7}{12}$miles is $\frac{1}{4}$.

Step-by-step explanation:

Let the fraction be

$\frac{x}{4}$

Since this fraction must be less than $\frac{7}{12}$ miles, we can write the inequality,

$\frac{x}{4}\:$

We now solve the inequality for $x$ to obtain,

$x\:$

This simplifies to,

$x\:$

This implies that,

$x\:$

This is distance so $x$ must be positive.

So we can choose $x=1$ or $x=2$.

Therefore the possible fractions include $\frac{1}{4}$ or $\frac{2}{4}$.

In the simplest form, the most appropriate fraction is  $\frac{1}{4}$

Answer 2

The answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller