Question

Use a ratio to compare the values. Simplify the ratio.

12 yd to 20 ft



A.
5 : 9


B.
3 : 5


C.
5 : 3


D.
9 : 5

Answer 1

The question says, 12 yards to 20 feet. First let's convert the units. One yard is equal to 3 feet. So if we multiply,
`3\cdot 12=36\quad feet` . Now we will, divide 36 feet to 20 feet and we'll simplify.
`\frac { 36 }{ 20 }` both 36 and 20 are divisible by 4, that means 4 is their common factor. We can simplify by that.
`\frac { 36 }{ 20 } =\frac { 4\cdot 9 }{ 4\cdot 5 } =\frac { 4 }{ 4 } \cdot \frac { 9 }{ 5 } =1\cdot \frac { 9 }{ 5 } =\frac { 9 }{ 5 }`

The answer is D. 9:5