Expert answers to "What fraction is between 13 and 12?"

Israel Holden

Answered question

2022-02-07

What fraction is between

\frac{1}{3}

and

\frac{1}{2}

supletiv2i4

Beginner2022-02-08Added 9 answers

Step 1
For any two numbers a abd b, the average

\frac{1}{2} (a + b)

lies between them.
So to find a fraction between

\frac{1}{3}

and

\frac{1}{2}

we can form the average:

\frac{1}{2} (\frac{1}{3} + \frac{1}{2})

= \frac{1}{2} (\frac{2}{6} + \frac{3}{6})

= \frac{1}{2} (\frac{5}{6}) = \frac{5}{12}

limegreenleosp9

Beginner2022-02-09Added 12 answers

Step 1

(\frac{1}{2}) \times (\frac{3}{3}) = \frac{3}{6}

(\frac{1}{3}) \times (\frac{2}{2}) = \frac{2}{6}

Now figure out the middle number between the numerators:

\frac{2}{6} < x < \frac{3}{6}

x = \frac{2.5}{6}

Since 2.5 is a decimal, multiply both the numerator and denominator to make the 2.5 into a whole number:

(\frac{2.5}{6}) \times (\frac{2}{2}) = \frac{5}{12}

Check the answer:

(\frac{1}{3}) < (\frac{5}{12}) < (\frac{1}{2})

\frac{1}{2}

is the same thing as

\frac{6}{12}

\frac{1}{3}

is the same thing as

\frac{4}{12}

(\frac{4}{12}) < (\frac{5}{12}) < (\frac{6}{12})

is true!

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