Reduce the following ratio to its lowest terms and to an equivalent ratio having the smallest term 1 : 30:60:36 Equivalent ratio:
The given ratio is 1 : 30 : 60 : 36.
To reduce this ratio to its lowest terms, we need to find the greatest common divisor (GCD) of the terms.
The GCD of 1, 30, 60, and 36 is 6.
Dividing each term by 6, we get the reduced ratio: 1/6 : 30/6 : 60/6 : 36/6.
Simplifying further, we have the lowest terms ratio: 1/6 : 5 : 10 : 6.
To find an equivalent ratio with the smallest term as 1, we divide each term by its smallest term, which is 1/6.
Dividing each term by 1/6, we get the equivalent ratio: 1/6 ÷ 1/6 : 5 ÷ 1/6 : 10 ÷ 1/6 : 6 ÷ 1/6.
Simplifying further, the equivalent ratio with the smallest term 1 is: 1 : 30 : 60 : 36.