Math / Algebra

QuestionYou can drag the values to rearrange them! $\begin{array}{l} \frac{x}{16}=\frac{6}{24} \\ x=\square ? ? \end{array}$

Studdy Solution

STEP 1

1. The equation $\frac{x}{16} = \frac{6}{24}$ is a proportion.
2. We need to solve for $x$ by using cross-multiplication or simplifying the fractions.

STEP 2

1. Simplify the fraction $\frac{6}{24}$ .
2. Use cross-multiplication to solve for $x$ .
3. Solve for $x$ .

STEP 3

First, simplify the fraction $\frac{6}{24}$ by finding the greatest common divisor (GCD) of 6 and 24, which is 6:
$\frac{6}{24} = \frac{6 \div 6}{24 \div 6} = \frac{1}{4}$

STEP 4

Now, use cross-multiplication to solve for $x$ . Set up the equation:
$\frac{x}{16} = \frac{1}{4}$
Cross-multiply to get:
$4x = 16 \times 1$

STEP 5

Solve for $x$ by dividing both sides by 4:
$4x = 16$ $x = \frac{16}{4}$ $x = 4$
The value of $x$ is:
$\boxed{4}$

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QuestionYou can drag the values to rearrange them! $\begin{array}{l} \frac{x}{16}=\frac{6}{24} \\ x=\square ? ? \end{array}$

Studdy Solution

STEP 1

1. The equation $\frac{x}{16} = \frac{6}{24}$ is a proportion.
2. We need to solve for $x$ by using cross-multiplication or simplifying the fractions.

STEP 2

1. Simplify the fraction $\frac{6}{24}$ .
2. Use cross-multiplication to solve for $x$ .
3. Solve for $x$ .

STEP 3

First, simplify the fraction $\frac{6}{24}$ by finding the greatest common divisor (GCD) of 6 and 24, which is 6:
$\frac{6}{24} = \frac{6 \div 6}{24 \div 6} = \frac{1}{4}$

STEP 4

Now, use cross-multiplication to solve for $x$ . Set up the equation:
$\frac{x}{16} = \frac{1}{4}$
Cross-multiply to get:
$4x = 16 \times 1$

STEP 5

Solve for $x$ by dividing both sides by 4:
$4x = 16$ $x = \frac{16}{4}$ $x = 4$
The value of $x$ is:
$\boxed{4}$

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QuestionYou can drag the values to rearrange them! x16=624x=□??\begin{array}{l} \frac{x}{16}=\frac{6}{24} \\ x=\square ? ? \end{array}16x​=246​x=□??​

Studdy Solution

STEP 1

1. The equation x16=624\frac{x}{16} = \frac{6}{24}16x​=246​ is a proportion.2. We need to solve for xxx by using cross-multiplication or simplifying the fractions.

STEP 2

1. Simplify the fraction 624\frac{6}{24}246​.2. Use cross-multiplication to solve for xxx.3. Solve for xxx.

STEP 3

First, simplify the fraction 624\frac{6}{24}246​ by finding the greatest common divisor (GCD) of 6 and 24, which is 6:624=6÷624÷6=14 \frac{6}{24} = \frac{6 \div 6}{24 \div 6} = \frac{1}{4} 246​=24÷66÷6​=41​

STEP 4

Now, use cross-multiplication to solve for xxx. Set up the equation:x16=14 \frac{x}{16} = \frac{1}{4} 16x​=41​Cross-multiply to get:4x=16×1 4x = 16 \times 1 4x=16×1

STEP 5

Solve for xxx by dividing both sides by 4:4x=16 4x = 16 4x=16 x=164 x = \frac{16}{4} x=416​ x=4 x = 4 x=4 The value of xxx is:4 \boxed{4} 4​

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QuestionYou can drag the values to rearrange them! $\begin{array}{l} \frac{x}{16}=\frac{6}{24} \\ x=\square ? ? \end{array}$

1. The equation $\frac{x}{16} = \frac{6}{24}$ is a proportion.
2. We need to solve for $x$ by using cross-multiplication or simplifying the fractions.

1. Simplify the fraction $\frac{6}{24}$ .
2. Use cross-multiplication to solve for $x$ .
3. Solve for $x$ .

First, simplify the fraction $\frac{6}{24}$ by finding the greatest common divisor (GCD) of 6 and 24, which is 6:
$\frac{6}{24} = \frac{6 \div 6}{24 \div 6} = \frac{1}{4}$

Now, use cross-multiplication to solve for $x$ . Set up the equation:
$\frac{x}{16} = \frac{1}{4}$
Cross-multiply to get:
$4x = 16 \times 1$

Solve for $x$ by dividing both sides by 4:
$4x = 16$ $x = \frac{16}{4}$ $x = 4$
The value of $x$ is:
$\boxed{4}$