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The number a is smaller than the number b by 1/5 of b . By what part of a is b bigger than a?

Respuesta :

Answer:

1/4

Step-by-step explanation:

So, we can create this representation of a in relation with b, since we know a is smaller than b by 1/5 of b, we can say that a is equal to 4/5 of b, right?

[tex]a = \frac{4}{5} b[/tex]

To invert the ratio, we need to isolate B, so we multiply both sides of the equation by 5/4

[tex]a * \frac{5}{4} = * \frac{5}{4} * \frac{4}{5} b = b\\ \\ b = \frac{5}{4} a[/tex]

So, we have b being 1/4 bigger than a.