proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication, where you multiply the numerator of one ratio by the denominator of the other ratio.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other fraction.

Front

If \( \frac{a}{b} = \frac{c}{d} \), what is the cross-multiplication result?

Back

The result is \( a \cdot d = b \cdot c \).

Front

What is the value of \( n \) in the proportion \( \frac{n}{13} = \frac{11}{26} \)?

Back

The value of \( n \) is 5.5.

Front

If \( \frac{6}{x} = \frac{24}{20} \), what is \( x \)?

Back

The value of \( x \) is 5.

Front

What is the solution for \( v \) in the proportion \( \frac{v}{7} = \frac{10}{2} \)?

Back

The solution for \( v \) is 35.

Front

How do you find \( x \) in the equation \( \frac{8}{x} = \frac{12}{30} \)?

Back

Cross-multiply to find \( x = 20 \).

Front

What is the value of \( x \) in the proportion \( \frac{2}{5} = \frac{x}{65} \)?

Back

The value of \( x \) is 26.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion \( \frac{a}{b} = \frac{c}{d} \), the means are \( b \) and \( c \), and the extremes are \( a \) and \( d \).