Question

What should be multiplied to 3 1/5 so that the product is 11?

Express the answer as a fraction in its simplest form.

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Answer 1

Step-by-step explanation:

3 1/5=16/5

16x/5=11

16x=55

x=55/16

Answer 2

Answer :

55/16

Solution:

Let the number to be multiplied be x .

A/Q

$\tt 3\dfrac{1}{5} \times x = 11$

Changing mixed fraction into improper fraction

$\implies \tt \dfrac{16}{5} \times x = 11 \\ \\ \tt \implies \frac{16x}{5} = 11 \\ \\ \implies \tt 16x = 11 \times 5 \\ \\ \tt \implies16x = 55 \\ \\ \implies \boxed{\tt x = \frac{55}{16}}$

This is the simplest form of fraction because the co - factor which 16 and 55 share is 1 .

Verification :

$\tt \dfrac{16}{5} \times \dfrac{55}{16} = 11 \\ \\ \tt \implies \frac{55}{5} = 11 \\ \\ \tt \implies 11 = 11$

LHS = RHS

Hence verified

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• A fraction that has numerator greater than the denominator is called an improper fraction .
• A fraction that has a whole along with fraction is called a whole fraction . This fraction is in the form : $\tt a \dfrac{x}{y}$ .
• To solve a whole fraction , y first is multiplied with a and then x is added to the product .