Question

What is the value of \[7\dfrac{9}{10}\]?

Answer 1

Hint: In this problem, we have to find the improper fraction for the given mixed fraction. We should first know that an improper fraction is a fraction, where the numerator is greater than or equal to the denominator. Here we can convert the mixed fraction into its improper fraction by multiplying the whole number term and the denominator and adding it to the numerator.

Complete step-by-step solution:
We know that the given mixed fraction to be converted into its improper fraction is,
\[7\dfrac{9}{10}\]
We can now convert the given mixed fractions to its improper fraction.
We should know that we can convert a mixed fraction into its improper fraction by multiplying the whole number part to the denominator and adding it to the numerator and finally write the result in the numerator.
We can first take the whole number part, multiply the whole number part 7 and the denominator 10 and add the number 70 to the numerator 9. Write the result 79 in the numerator and the denominator remains the same there.
We can now write the mixed fraction, we get
\[\Rightarrow \dfrac{79}{10}\]
We can also represent the answer in decimal form, so we will get 7.9.
Therefore, the improper fraction of \[7\dfrac{9}{10}\] is \[\dfrac{79}{10}\] or 7.9.

Note: Students make mistakes while converting the mixed fractions into its improper fraction, by multiplying the whole number part to the denominator and adding it to the numerator and finally write the result in the numerator. We should concentrate while cross multiplying the numbers.