Question

What is the decimal form of \[-4\dfrac{7}{8}\]?

Answer 1

Hint: For solving this question you should know about the equivalent fractions. And we will change this as a complete fractional form. And then find the decimal form. But to solve the decimal equivalent we have to divide or solve the fraction completely which remains the same for all equivalent fractions.

Complete step by step solution:
According to our question we have to calculate the equivalent decimal for \[-4\dfrac{7}{8}\]. It means we have to determine the decimal value which will be equal to the \[-4\dfrac{7}{8}\] if we again solve them for fractional form.
So, as we can say that the ratio of the fraction is equal to its decimal equivalent. We can say that if we again multiply our decimal fractions from the equivalent fractions of \[-4\dfrac{7}{8}\] then again to get the real fraction. Because the ratio of original fraction and the equivalent fraction remain same for all fractions and this rational value is equal to decimal equivalent.
So, if we see our question it is in a whole number and a fractional form.
For changing this in decimal form we have to take it as a complete fractional form.
So, the fractional form of this is: \[-4\dfrac{7}{8}=-\left( \dfrac{\left( 4\times 8 \right)+7}{8} \right)\]
\[=-\left( \dfrac{32+7}{8} \right)=-\dfrac{39}{8}\]
Now, we have to divide 39 by 8.
So, we can also write it as:
\[\Rightarrow -\dfrac{39}{8}=-4.879\]
So, the decimal form of \[-4\dfrac{7}{8}\] is $-4.879$.

Note: For calculating the equivalent decimal we always divide the numerator from the denominator. And the ratio comes that is the answer. But for the big fractional values it is impossible to divide them on paper. So, always reduce the fraction as much as possible and then divide it and find the decimal equivalent.