How to determine if two ratios create a proportion

The video tutorial explains how to determine if two sets of numbers form a proportion by checking if their fractions are equivalent. It uses the example of 1/2 and 2/4 to illustrate equivalent fractions. The tutorial discusses methods to simplify fractions and verify proportions without a calculator, emphasizing multiplication to confirm equivalence. The conclusion is that the given fractions are equivalent and form a proportion.

What is the main idea behind equivalent fractions?

• Equivalent fractions must have the same numerator.

• Fractions must be identical to be equivalent.

• Equivalent fractions have different values.

• Fractions can be equivalent even if they look different.

Which method can be used to check if two fractions form a proportion?

• Only by simplifying both fractions.

• By checking if the numerators are the same.

• By simplifying or checking if numerators and denominators divide evenly.

• By ensuring both fractions have the same denominator.

What is the first step in determining if 75.2/61.6 and 9.4/7.7 form a proportion?

• Check if multiplying the numerator of one fraction by a number gives the numerator of the other.

• Multiply both fractions by 10.

• Simplify both fractions to their lowest terms.

• Ignore the decimals and compare the whole numbers.

How can you verify if two fractions are equivalent without a calculator?

• By multiplying the numerator and denominator of one fraction by the same number.

• By adding the numerators and denominators.

• By dividing the numerator of one fraction by the denominator of the other.

• By checking if the product of the numerator and denominator of one fraction equals the other.

What conclusion can be drawn if multiplying 9.4 by 8 gives 75.2?

• The fractions form a proportion.

• The fractions have different denominators.

• The fractions need further simplification.

• The fractions are not equivalent.