Using each of the digits 0-6 only once, make two equivalent ratios

The two equivalent ratios are 8:4 and 2:1

Step-by-step explanation:

The digits taken are 4 and 2.

Therefore, 4:2 = 4 x 2:2 x 2

So one equivalent ratio is 4:2 = 8:4

For the other equivalent ratio, 4:2 = 4 / 2:2/2

Hence, the other equivalent ratio is 4:2 = 2:1

Finally, the two equivalent ratios are 8:4 and 2:1

A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent-ratio.

A ratio is a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison. Ratios are written three ways: as a fraction, with a colon, and with the word "to." The ratio for quantity a to quantity b is: a/b or a:b or a to b. Consequently, a ratio may be considered as an ordered pair of numbers, as a fraction with the first number in the numerator and the second as denominator, or as the value denoted by this fraction. Ratios of counts, given by (non-zero) natural numbers, are rational numbers, and may sometimes be natural numbers. When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of two quantities that are measured with different units is called a rate.