Whether the proportion 74=53 is true.

Question

coffentw · Accepted Answer

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 $\frac{a}{b}$ and $\frac{c}{d}$ are two ratios, then $\frac{a}{b} = \frac{c}{d}$ is a proportion.
If the cross products are not 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 $a \cdot d \neq b \cdot c$ , then it is false.
Calculation:
Determine the proportion $\frac{7}{4} = \frac{5}{3}$ is true or false by using the cross product.
$\frac{7}{4} = \frac{5}{3}$
$7 \cdot 4 = 5 \cdot 3$
$28 \neq 15$
Therefore, the cross product is not equal.
Hence, the statement is false.
The final Statement:
The proportion $\frac{7}{4} = \frac{5}{3}$ is not true.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Whether the proportion \frac{7}{4}=\frac{5}{3} is true.

Answered question

Answer & Explanation

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