Question

it is given that 2/3, 8/d, n/39 are equivalent fractions. Find the value of d and n.

Answer 1

Answer:

The value of d and n are 12 and 26 respectively.

Step-by-step explanation:

It is given that $\frac{2}{3} ,\frac{8}{d} ,\frac{n}{39}$ are equivalent fractions which means that the simple fractions of all the three fractions are same, so all that we need to do to find the values of d and n are equate the fractions to one another.

In order to find d,

$\frac{2}{3} =\frac{8}{d} \\d=\frac{8.3}{2}=4.3=12$

The value of d is 12, we can see that the simple fraction of $\frac{8}{12}$ is $\frac{2}{3}$ when the numerator and denominator are divided by 4.

In order to find n,

$\frac{2}{3}=\frac{n}{39} \\n=\frac{2.39}{3} =2.13=26$

The value of n is 26.