Question

I need help with this this problemWrite the following in lowest terms

Answer 1

9/5

Step-by-step explanation

A ratio of yards to inches is given,

`(2yd)/(40in)`

To express this in the lowest terms, we must simplify the numeric part, but first, we have to convert 2 yards into inches, knowing that 1 yard is equivalent to 36 inches,

`2yd\cdot(36in)/(1yd)=72in`

Now, the unit cancels out,

`(2yd)/(40in)=(72in)/(40in)=(72)/(40)`

Next, we have to simplify the result. Note that both the numerator and denominator are divisible by 2, so let's divide them by 2,

`((72)/(2))/((40)/(2))=(36)/(20)`

Now, in this equivalent fraction, both parts are also divisible by 2,

`((36)/(2))/((20)/(2))=(18)/(10)`

And, finally, we can divide both by 2 one more time,

`((18)/(2))/((10)/(2))=(9)/(5)`

Hence, this expression in the lowest terms is 9/5.