Question

Write an equivalent fraction for 15 over 20 by simplifying the fractions. Reduce the following to their lowest terms. Write an equivalent fraction for 33 over 88 by simplifying the fractions. Reduce the following to their lowest termsWrite an equivalent fraction for81 over 120 by simplifying the fractions. Reduce the following to their lowest terms

Answer 1

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.

To get an equivalent fraction, the numerator and the denominator of one fraction are either multiplied or divided by the same constant number to produce the equivalent fraction.

Part A:

To reduce a fraction to its lowest term, we divide both the numerator and the denominator by a constant number.

Dividing both the numerator and denominator by 5

`\begin{gathered} (15)/(20) \\ (15)/(20)=((15)/(5))/((20)/(5))=(3)/(4) \\ (15)/(20)=(3)/(4) \end{gathered}`

Therefore, an equivalent fraction in its lowest term for

`(15)/(20)\text{ is }(3)/(4)`

Part B:

Dividing both the numerator and denominator by 11

`\begin{gathered} (33)/(88) \\ (33)/(88)=((33)/(11))/((88)/(11))=(3)/(8) \\ (33)/(88)=(3)/(8) \end{gathered}`

Therefore, an equivalent fraction in its lowest term for

`(33)/(88)\text{ is }(3)/(8)`

Part C:

Dividing both the numerator and denominator by 3

`\begin{gathered} (81)/(120) \\ (81)/(120)=((81)/(3))/((120)/(3))=(27)/(40) \\ (81)/(120)=(27)/(40) \end{gathered}`

Therefore, an equivalent fraction in its lowest term for

`(81)/(120)\text{ is }(27)/(40)`