ANSWER
9/5
EXPLANATION
A ratio of yards to inches is given,
[tex]\frac{2yd}{40in}[/tex]
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,
[tex]2yd\cdot\frac{36in}{1yd}=72in[/tex]
Now, the unit cancels out,
[tex]\frac{2yd}{40in}=\frac{72in}{40in}=\frac{72}{40}[/tex]
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,
[tex]\frac{\frac{72}{2}}{\frac{40}{2}}=\frac{36}{20}[/tex]
Now, in this equivalent fraction, both parts are also divisible by 2,
[tex]\frac{\frac{36}{2}}{\frac{20}{2}}=\frac{18}{10}[/tex]
And, finally, we can divide both by 2 one more time,
[tex]\frac{\frac{18}{2}}{\frac{10}{2}}=\frac{9}{5}[/tex]
Hence, this expression in the lowest terms is 9/5.
