Question

interpret 4/5 in different ways ​

Answer 1

Answer:

Here the given fraction is

Numerator = 2

Denominator = 5

Multiplying both of the numerator and denominator by 2 we get

2

5

2

=

5×2

2×2

=

10

4

Again Multiplying both of the numerator and denominator by 3 we get

\displaystyle \sf{ \frac{2}{5} } = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}

5

2

=

5×3

2×3

=

15

6

Hence two fractions which are equivalent to given fraction is

\displaystyle \sf{ \frac{4}{10} } \: \: \: and \: \: \: \frac{6}{15}

10

4

and

15

6

Answer 2

Given: The fraction 4/5.  

To find: The fraction's interpretation in different ways.  

Solution:  

• A fraction can be interpreted in different ways by its equivalent fractions.
• Equivalent fractions of another fraction have the same values but are written in different forms.
• These fractions cancel out on common factors and end up giving the same lowest value.
• To obtain equivalent fractions, 4/5 is to be multiplied by multiples such as 2, 3, 4, 5, and so on.

        $\frac{4}{5} * \frac{2}{2} = \frac{8}{10}$

        $\frac{4}{5} * \frac{3}{3} = \frac{12}{15}$

        $\frac{4}{5} * \frac{4}{4} = \frac{16}{20}$

        $\frac{4}{5} * \frac{5}{5} = \frac{20}{25}$  

• These are the first four equivalent fractions of 4/5.

Therefore, equivalent fractions of 4/5​ are 8/10, 12/15, 16/20, 20/25, 24/30, and so on.