Question

What fraction lies exactly halfway between 1/2 and 2/3

Answer 1

Answer:

$\dfrac{7}{12}$

Step-by-step explanation:

Method 1

convert the fractions so that their denominators are 12:

$\dfrac12=\dfrac{1 \times 6}{2 \times 6}=\dfrac{6}{12}$

$\dfrac23=\dfrac{2\times4}{3\times4}=\dfrac{8}{12}$

From inspection, we can determine that the fraction that lies exactly halfway between $\dfrac{6}{12}$ and $\dfrac{8}{12}$ is $\dfrac{7}{12}$

Method 2

Find the difference between the fractions and divide by 2:

$\dfrac{\dfrac23-\dfrac12}{2}=\dfrac{1}{12}$

Add this to the smallest fraction (1/2):

$\dfrac12+\dfrac{1}{12}=\dfrac{7}{12}$