Question

By what fraction should be multiply 1/5 to get 16/35

Answer 1

Answer:

16/7

Step-by-step explanation:

1 into 16 is = 16

5 into 7 is = 35

hope i helped

Answer 2

Given :–

• First fraction = $\dfrac{1}{5}$
• Product of two fractions = $\dfrac{16}{35}$

To Find :–

• The other fraction.

Solution :–

Let,

The other fraction be x.

According to the question,

• First fraction × Other fraction = Product of both fractions.

• First fraction = $\dfrac{1}{5}$
• Product of both fractions = $\dfrac{16}{35}$

Now, put all the values.

→ $\dfrac{1}{5} \times x = \dfrac{16}{35}$

→ $\dfrac{1}{5}x = \dfrac{16}{35}$

→ $1x = \dfrac{16}{ \cancel{35}} \times \cancel5$

→ $x = \dfrac{16}{7}$

Hence,

The other fraction is $\dfrac{16}{7}$

Check :–

• First fraction × Other fraction = Product of two fractions.

Values are,

• First fraction = $\dfrac{1}{5}$
• Other fraction = $\dfrac{16}{7}$
• Product of both fractions = $\dfrac{16}{35}$

Now, put all the values.

→ $\dfrac{1}{5} \times \dfrac{16}{7} = \dfrac{16}{35}$

Multiply both the fractions.

→ $\dfrac{1 \times 16}{7 \times 5} = \dfrac{16}{35}$

→ $\dfrac{16}{35} = \dfrac{16}{35}$

Since, both the L.H.S. and the R.H.S. are equal.

So, the other fraction is $\dfrac{16}{7}$ is correct.