Determine whether the ratios are proportional. (3 (1)/(4))/(5 (1)/(2))?=(4 (2)/(3))/(6 (1)/(2))

Name: Problem 14, Chapter 7: Prealgebra
Uploaded: 2020-04-28T19:23:31-08:00
Duration: 20 s
Channel: Ali Soave
Description: Determine whether the ratios are proportional. (3 (1)/(4))/(5 (1)/(2))?=(4 (2)/(3))/(6 (1)/(2))

step 1 To find if this is proportional, let's cross multiply. 3 and 1 4th times 6 .5 is equal to 169 ov

Determine whether the ratios are proportional. (3...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Fraction Simplification

Simplifying fractions involves reducing them to their simplest form, where the numerator and denominator share no common factors other than one. This process makes it easier to compare fractions and identify equivalent ratios.

Cross Multiplication

Cross multiplication is a technique used to verify the equality of two ratios. By multiplying the numerator of one fraction by the denominator of the other and comparing the products, one can determine whether the ratios are equivalent.

Ratio

A ratio is a quantitative relationship between two numbers, showing how many times one value contains or is contained within the other. It is the basis for comparing parts of a whole in various contexts.

Proportionality

Proportionality refers to the equality of two ratios, meaning that one ratio can be expressed as a constant multiple of another. In proportional relationships, the two ratios are equivalent, which allows them to be solved through methods like cross-multiplication.

Mixed Numbers Conversion

Mixed numbers combine a whole number with a fractional part, and converting them to improper fractions simplifies calculations. This conversion is essential when performing arithmetic operations such as addition, subtraction, or comparison of ratios.

Please give Ace some feedback