Question

Fill in the following blanks 15/18=[]/6=10/[]=[​

Answer 1

Answer:

15/18=5/6

Step-by-step explanation:

5/6=10

5x=60

x=12

Answer 2

➤ Correct Question :-

${\tt \leadsto \dfrac{15}{18} = \dfrac{x}{6} = \dfrac{10}{y}}$

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★ How to do :-

Here, we are given with a fraction and other two fractions in which one doesn't have numerator and the other denominator. We are asked to find the value of those variables x and y. We are given that all the three fractions are equal. We should solve this question step by step. First we'll solve for the variable x and then we can solve for the variable y. We'll write the final answer at the last. So, let's solve!!

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➤ Solution :-

Value of x :-

${\tt \leadsto \dfrac{15}{18} = \dfrac{x}{6}}$

Cross multiply the numbers.

${\tt \leadsto 15 \times 6 = 18 \times x}$

Multiply the numbers on both sides.

${\tt \leadsto 90 = 18x}$

Shift the number 90 from LHS to RHS, changing it's sign.

${\tt \leadsto x = \dfrac{90}{18}}$

Simplify the fraction to get the value of x

${\tt \leadsto \pink{\underline{\boxed{\tt x = 5}}}}$

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Value of y :-

${\tt \leadsto \dfrac{15}{18} = \dfrac{10}{y}}$

Cross multiply the numbers.

${\tt \leadsto 15 \times y = 10 \times 18}$

Multiply the numbers on both sides.

${\tt \leadsto 15y = 180}$

Shift the number 15 from LHS to RHS, changing it's sign.

${\tt \leadsto y = \dfrac{180}{15}}$

Simplify the fraction to get the value of y.

${\tt \leadsto \pink{\underline{\boxed{\tt y = 12}}}}$

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Final Answer :-

${\tt \longrightarrow \orange{\underline{\boxed{\tt \dfrac{15}{18} = \dfrac{5}{6} = \dfrac{10}{12}}}}}$

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Hence solved !!