Erika ran $\frac{3}{8}$ $3/8$ mile. Maria ran $\frac{3}{4}$ $3/4$ mile. Who ran farther?

Question

Erika ran $\frac{3}{8}$ $3/8$ mile. Maria ran $\frac{3}{4}$ $3/4$ mile. Who ran farther?

1 Answer

Impact of this question

5101 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-12T01:59:22

Maria ran farther

Explanation:

To compare both fractions, first make their denominators the same.
The fractions are $\frac{3}{8}$ $3/8$ and $\frac{3}{4}$ $3/4$

Take their LCM which would be $8$ $8$

So, the fractions now become,

$\frac{3}{8}$ $3/8$ (it remains unchanged because it already has $8$ $8$ in the denominator) and $\frac{6}{8}$ $6/8$ ( $\frac{3}{4}$ $3/4$ becomes $\frac{6}{8}$ $6/8$ because $4$ $4$ goes twice in $8$ $8$ )

So, we can see that $\frac{6}{8}$ $6/8$ > $\frac{3}{8}$ $3/8$

Thus, Maria ran farther.

An easy way could be to look at both fractions and their denominators. $\frac{3}{8}$ $3/8$ means 3 out of $8$ $8$ parts and $\frac{3}{4}$ $3/4$ means $3$ $3$ out of $4$ $4$ parts.

Definitely, anything divided into more parts will have smaller size and thus $\frac{3}{4}$ $3/4$ is bigger.

Science

Math

Humanities

... and beyond

Erika ran $\frac{3}{8}$ $3/8$ mile. Maria ran $\frac{3}{4}$ $3/4$ mile. Who ran farther?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Erika ran 3/8383/8 mile. Maria ran 3/4343/4 mile. Who ran farther?

1 Answer

Explanation:

Related questions

Impact of this question

Erika ran $\frac{3}{8}$ $3/8$ mile. Maria ran $\frac{3}{4}$ $3/4$ mile. Who ran farther?