Question

Fill in the blank ::: 3/4 = ----/12 = -15 /----

Answer 1

Answer:

3/4=9/12=-15/-20

Step-by-step explanation:

please give brainliest answer

Answer 2

➤ Question :-

${\sf \leadsto \dfrac{3}{4} = \dfrac{x}{12} = \dfrac{(-15)}{y}}$

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★ How to do :-

Here, we are given with three fractions in which the second fraction isn't given with the numerator and the third fraction isn't given with the denominator. We are asked to find the numerator and the denominator of those both fractions. We are said that those all three fractions are equivalent fractions i.e, they all are equal. We can find the answer of this by an other concept which is usable for many problems of maths. This method is called as the transposition method. We also have an other method which can be used here to find the answer. That method is known as the cross multiplication method. In this question, we will use the method of cross multiplication method. So, let's solve!!

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➤ Solution :-

Let the two unknown numbers be x and y

${\sf \leadsto \dfrac{3}{4} = \dfrac{x}{12} = \dfrac{(-15)}{y}}$

Let's find the value of x and y separately.

Value of x :-

${\sf \leadsto \dfrac{3}{4} = \dfrac{x}{12}}$

Cross multiply the numbers.

${\sf \leadsto 3 \times 12 = 4 \times x}$

Multiply the numbers on LHS.

${\sf \leadsto 36 = 4 \times x}$

Shift the number 4 from LHS to RHS.

${\sf \leadsto x = \dfrac{36}{4}}$

Simplify the fraction to get the value of x.

${\sf \leadsto x = 9}$

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Value of y :-

${\sf \leadsto \dfrac{3}{4} = \dfrac{(-15)}{y}}$

Cross multiply the numbers.

${\sf \leadsto 3 \times y = 4 \times (-15)}$

Multiply the numbers on RHS.

${\sf \leadsto 3 \times y = (-60)}$

Shift the number 3 from LHS to RHS.

${\sf \leadsto y = \dfrac{(-60)}{3}}$

Simplify the fraction to get the value of y.

${\sf \leadsto y = (-20)}$

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${\red{\underline{\boxed{\bf So, \: the \: values \: of \: x \: and \: y \: are \: 9 \: and \: (-20) \: respectively.}}}}$