Question

whether it is equivalent or not?​

Answer 1

Step-by-step explanation:

i).This is a proper fraction once the absolute value of the top number or numerator (32) is smaller than the absolute value of the bottom number or denomintor (56).

The fraction 32

56

can be reduced.

We will use the Greatest Common Factor (GCF) method to simplify it.

The GCF is the largest number between which two or more numbers can be divided evenly.

To find the GCF we list the the numerator and denominator factors (*) then we find the largest number that is repeated in both lists:

* The factors of 32 are 1,2,4,8,16,32;

* The factors of 56 are 1,2,4,7,8,14,28,56.

We can see that the GCD is 8 because it is the largest number by which 32 y 56 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 8 (the GCF).

So, 32

56

= 32÷8

56÷8

= 4

7

.

Thus, 32

56

is equivalent to 4

7

in the reduced form.

(*) The factors are numbers that multiply each other to get another number. For example, 2 and 3 are factors of 6, because by multiplying them you get 6.

The fraction 32

56

is equal to 32÷56 and can also be expressed as a decimal as 0.571429 and expressed as a percentage as 57.1429%.

Hope its help..

Answer 2

Solution :

To know if these fractions are equivalent or not, we have to reduce the fractions. As you can see, first fraction is irreducible, so reduce the second fraction.

Reducing the second fraction :-

HCF of 32 and 56 = 8

Divide the numerator and denominator by 8.

32 ÷ 8/56 ÷ 8 = 4/7

Now, you can see the reduced fraction is 4/7.

Hence, the fractions are equivalent.