Question

What is one measurement that is between $\dfrac{3}{16}$ inch and $\dfrac{7}{8}$ inch on a ruler?

Answer 1

Hint: We are asked to find one measurement that is between $\dfrac{3}{16}$ inch and $\dfrac{7}{8}$. In simple words, we are required to find a fraction that exists between the two given fractions $\dfrac{3}{16}$ inch and $\dfrac{7}{8}$ inch. To find a number between two given fractions, we simply make their denominator equal by certain multiplication in both numerator and denominator in both the fractions (if required) and after that we find a number that is present between the numerators. Combining the picked numerator and the common denominator, we create a fraction lying between the fractions given.

Complete step-by-step solution:
Here, we have $\dfrac{3}{16}$ and $\dfrac{7}{8}$. So we multiply the fraction $\dfrac{7}{8}$ by 2 in both numerator and denominator. We get:
$\dfrac{7}{8}\times \dfrac{2}{2}=\dfrac{14}{16}$
See that, only the way of writing the fractions has changed here. The value of the fraction should remain the same no matter what.
So, now the fractions become $\dfrac{3}{16}$ and $\dfrac{14}{16}$. We can easily find a lot of fractions in between these two by picking any number between 3 and 14. So we pick $\dfrac{9}{16}$. Hence, one measurement between $\dfrac{3}{16}$ inch and $\dfrac{7}{8}$ inch is $\dfrac{9}{16}$ inch.
Hence, the result is obtained.

Note: Always make sure that the denominator is common. It is a common mistake to simply see the numerators and find a number between them and write the fraction, which is wrong. And make sure that while you change the fraction, multiply both numerator and denominator, otherwise the fraction would change and we need to keep the fraction the same as before.