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nate's quiche is cut into 7 equal parts. only 3/7 is left. he wants to give 3 of his friends equal part. write 3/7 as the sum of unit fractions.

Respuesta :

The problem is to write 3/7 as the sum of equal parts, that is a sum of fractions:
1/7 + 1/7 + 1/7 = 3/7
note that we are only adding the numerator, the upper part.

Answer:

[tex]\frac{1}{7}+\frac{1}{7}+\frac{1}{7}[/tex]

Step-by-step explanation:

We have been given that Nate's quiche is cut into 7 equal parts. only 3/7 is left. He wants to give 3 of his friends equal part.

Let us divide [tex]\frac{3}{7}[/tex] by 3 to find the part given to each of Nate's friends.

[tex]\frac{3}{7}\div 3\\\Rightarrow\frac{3}{7}\div\frac{3}{1}\\\Rightarrow\frac{3}{7}\times\frac{1}{3}\\\Rightarrow\frac{1}{7}[/tex]

Since Nate gave each of his friend [tex]\frac{1}{7}[/tex] of quiche, so we can write [tex]\frac{3}{7}[/tex] as the sum of unit fractions will be:

[tex]\frac{3}{7}=\frac{1}{7}+\frac{1}{7}+\frac{1}{7}[/tex]