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Sagot :
The question asks us to convert mixed fractions to improper fraction.
The first Mixed fraction is:
[tex]\begin{gathered} 10\frac{2}{5} \\ \text{whole number = 10} \\ \text{ numerator = 2} \\ \text{ denominator = 5} \end{gathered}[/tex]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.
[tex]5\times10=50[/tex]2. Add the result of the multiplication in step 1 to the numerator.
[tex]50+2=52[/tex]3. The result from step 2 is the new numerator and use the current denominator as the new denominator.
[tex]\begin{gathered} \text{new numerator = 52} \\ \text{new denominator = 5} \\ \therefore\frac{52}{5} \end{gathered}[/tex]Therefore, the answer is:
[tex]10\frac{2}{5}=\frac{52}{5}[/tex]Now, let us use the same rules for the next question.
[tex]7\frac{3}{20}[/tex]1. Multiply the denominator by the whole number.
[tex]7\times20=140[/tex]2. Add the result of the multiplication in step 1 to the numerator.
[tex]140+3=143[/tex]3. The result from step 2 is the new numerator and use the current denominator as the new denominator.
[tex]\begin{gathered} \text{new numerator= 143} \\ \text{new denominator = 20} \\ \therefore\frac{143}{20} \end{gathered}[/tex]Therefore, the final answer is:
[tex]7\frac{3}{20}=\frac{143}{20}[/tex]
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