aspifsGak5u

2021-12-26

To solve:

The proportion$\frac{y}{10}=\frac{13}{4}$ .

The proportion

godsrvnt0706

Beginner2021-12-27Added 31 answers

Approach:

The quotient of two numbers is called a ratio.

Ex.$\frac{2}{3}$ .

The ratio is no different from a fraction, except that a ratio is sometimes written using notation other than fractional notation.

Ex. The ratio of 5 to 7 can be written as fractional notation$\frac{5}{7}$ or colon notation $5:7$ .

If a ratio contains decimal numbers or mixed numbers, then the ratio can be written only by the ratio of whole numbers.

Ex.$5.7:3$ can be written as $\frac{57}{30}$ .

A proportion is a statement that two ratios or rates are equal.

Ex. If$\frac{a}{b}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\frac{c}{d}$ are two ratios, then $\frac{a}{b}=\frac{c}{d}$ is a proportion.

If the cross product are equal, the proportion is true.

Ex. If$a\cdot d=b\cdot c$ , then it is true.

If the cross products are not equal, the proportion is false.

Ex. If$a\cdot d\ne b\cdot c$ , then it is false.

When one number of proportion is unknown, then use cross product to find the unknown number.

Ex. Find the unknown number x in the proportion$\frac{4}{2}=\frac{20}{x}$ . It can be found by cross product. That is, $x=10$ .

Calculation:

Determine the value of y in the proportion$\frac{y}{10}=\frac{13}{4}$ by using the cross product.

$\frac{y}{10}=\frac{13}{4}$

$y\cdot 4=13\cdot 10$

$y=\frac{130}{4}$

$y=32.5$

Therefore, the value is$y=32.5$ .

The final Statement:

The value of y in the proportion$\frac{y}{10}=\frac{13}{4}\text{}is\text{}y=32.5$

The quotient of two numbers is called a ratio.

Ex.

The ratio is no different from a fraction, except that a ratio is sometimes written using notation other than fractional notation.

Ex. The ratio of 5 to 7 can be written as fractional notation

If a ratio contains decimal numbers or mixed numbers, then the ratio can be written only by the ratio of whole numbers.

Ex.

A proportion is a statement that two ratios or rates are equal.

Ex. If

If the cross product are equal, the proportion is true.

Ex. If

If the cross products are not equal, the proportion is false.

Ex. If

When one number of proportion is unknown, then use cross product to find the unknown number.

Ex. Find the unknown number x in the proportion

Calculation:

Determine the value of y in the proportion

Therefore, the value is

The final Statement:

The value of y in the proportion

Jordan Mitchell

Beginner2021-12-28Added 31 answers

Step 1

$\frac{y}{10}=\frac{13}{4}$

Multiply both sides by 10

$y=\frac{13}{4}\times 10$

Express$\frac{13}{4}\times 10$ as a single fraction

$y=\frac{12\times 10}{4}$

Multiply 13 and 10 to get 130

$y=\frac{130}{4}$

Reduce the fraction$\frac{130}{4}$ to lowest terms by extracting and canceling out 2.

$y=\frac{65}{2}$

Multiply both sides by 10

Express

Multiply 13 and 10 to get 130

Reduce the fraction

karton

Expert2022-01-04Added 613 answers

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