Question

Convert the following mixed number to improper fraction10 /2/57 3/20

Answer 1

The question asks us to convert mixed fractions to improper fraction.

The first Mixed fraction is:

`\begin{gathered} 10(2)/(5) \\ \text{whole number = 10} \\ \text{ numerator = 2} \\ \text{ denominator = 5} \end{gathered}`

In order to convert this into an improper fraction, we need to follow some steps:

1. Multiply the denominator by the whole number.

2. Add the result of the multiplication in step 1 to the numerator.

3. The result from step 2 is the new numerator and use the current denominator as the new denominator.

Let us now apply these steps to answer the question

1. Multiply the denominator by the whole number.

`5*10=50`

2. Add the result of the multiplication in step 1 to the numerator.

`50+2=52`

3. The result from step 2 is the new numerator and use the current denominator as the new denominator.

`\begin{gathered} \text{new numerator = 52} \\ \text{new denominator = 5} \\ \therefore(52)/(5) \end{gathered}`

Therefore, the answer is:

`10(2)/(5)=(52)/(5)`

Now, let us use the same rules for the next question.

`7(3)/(20)`

1. Multiply the denominator by the whole number.

`7*20=140`

2. Add the result of the multiplication in step 1 to the numerator.

`140+3=143`

3. The result from step 2 is the new numerator and use the current denominator as the new denominator.

`\begin{gathered} \text{new numerator= 143} \\ \text{new denominator = 20} \\ \therefore(143)/(20) \end{gathered}`

Therefore, the final answer is:

`7(3)/(20)=(143)/(20)`