Respuesta :

Answer:

279

Step-by-step explanation:

Lets do the following:

How many 1/9 are there in 1? Easy! 9. We can corroborate this by summing 1/9 nine times of multiplying 1/9 nine times. In both cases the result is 9.

Then, how many 1 are there in 31? Easier!! 31. Is we sum the number 1 thirty one times, the result is 31.

Now let join both results:

If each 1 has nine 1/9, and there are thirty one 1s in 31, then in 31 we have 31*9=279 1/9s. This is:

31*1 = 31 * 9 (1/9) = 279 * (1/9)

To solve such problems firstly we need to learn about fractions.

Fraction

A fraction is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25.

We need to add  [tex]\bold{\dfrac{1}{9}}[/tex] 279 times to get the sum as 31.

Explanation

We have been asked how many 1/9s are in 31.

So, we want to know how many times should we add  [tex]\bold{\dfrac{1}{9}}[/tex] so that the result is 31.

Assuming that we need to add [tex]\bold{\dfrac{1}{9}}[/tex], x times to get the sum as 31.

therefore, we can write it as,

[tex]x\times \dfrac{1}{9} = 31\\\\x= 31\times 9\\x= 279[/tex]

Hence, we need to add  [tex]\bold{\dfrac{1}{9}}[/tex] , 279 to get the sum as 31.

Learn more about Fractions:

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