Math / Numbers & Operations

QuestionFill in the blank to make the two fractions equivalent. $\frac{\square}{24}=\frac{5}{8}$

Studdy Solution

STEP 1

1. We need to find the numerator of the first fraction to make it equivalent to the second fraction.
2. The two fractions are $\frac{\square}{24}$ and $\frac{5}{8}$ .

STEP 2

1. Set up an equation.
2. Solve for the unknown numerator.

STEP 3

Set up the equation to represent the equivalence of the two fractions.
$\frac{x}{24} = \frac{5}{8}$
where $x$ is the unknown numerator.

STEP 4

To solve for $x$ , cross-multiply to eliminate the fractions.
$x \cdot 8 = 5 \cdot 24$

STEP 5

Calculate the right side of the equation.
$5 \cdot 24 = 120$

STEP 6

Solve for $x$ by dividing both sides by $8$ .
$x = \frac{120}{8}$

STEP 7

Calculate the value of $x$ .
$x = 15$
The value that makes the two fractions equivalent is:
$\boxed{15}$

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QuestionFill in the blank to make the two fractions equivalent. $\frac{\square}{24}=\frac{5}{8}$

Studdy Solution

STEP 1

1. We need to find the numerator of the first fraction to make it equivalent to the second fraction.
2. The two fractions are $\frac{\square}{24}$ and $\frac{5}{8}$ .

STEP 2

1. Set up an equation.
2. Solve for the unknown numerator.

STEP 3

Set up the equation to represent the equivalence of the two fractions.
$\frac{x}{24} = \frac{5}{8}$
where $x$ is the unknown numerator.

STEP 4

To solve for $x$ , cross-multiply to eliminate the fractions.
$x \cdot 8 = 5 \cdot 24$

STEP 5

Calculate the right side of the equation.
$5 \cdot 24 = 120$

STEP 6

Solve for $x$ by dividing both sides by $8$ .
$x = \frac{120}{8}$

STEP 7

Calculate the value of $x$ .
$x = 15$
The value that makes the two fractions equivalent is:
$\boxed{15}$

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QuestionFill in the blank to make the two fractions equivalent. □24=58\frac{\square}{24}=\frac{5}{8}24□​=85​

Studdy Solution

STEP 1

1. We need to find the numerator of the first fraction to make it equivalent to the second fraction.2. The two fractions are □24\frac{\square}{24}24□​ and 58\frac{5}{8}85​.

STEP 2

1. Set up an equation.2. Solve for the unknown numerator.

STEP 3

Set up the equation to represent the equivalence of the two fractions.x24=58\frac{x}{24} = \frac{5}{8}24x​=85​where x x x is the unknown numerator.

STEP 4

To solve for x x x, cross-multiply to eliminate the fractions.x⋅8=5⋅24x \cdot 8 = 5 \cdot 24x⋅8=5⋅24

STEP 5

Calculate the right side of the equation.5⋅24=1205 \cdot 24 = 1205⋅24=120

STEP 6

Solve for x x x by dividing both sides by 8 8 8.x=1208x = \frac{120}{8}x=8120​

STEP 7

Calculate the value of x x x.x=15x = 15x=15 The value that makes the two fractions equivalent is:15\boxed{15}15​

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QuestionFill in the blank to make the two fractions equivalent. $\frac{\square}{24}=\frac{5}{8}$

1. We need to find the numerator of the first fraction to make it equivalent to the second fraction.
2. The two fractions are $\frac{\square}{24}$ and $\frac{5}{8}$ .

1. Set up an equation.
2. Solve for the unknown numerator.

Set up the equation to represent the equivalence of the two fractions.
$\frac{x}{24} = \frac{5}{8}$
where $x$ is the unknown numerator.

To solve for $x$ , cross-multiply to eliminate the fractions.
$x \cdot 8 = 5 \cdot 24$

Calculate the right side of the equation.
$5 \cdot 24 = 120$

Solve for $x$ by dividing both sides by $8$ .
$x = \frac{120}{8}$

Calculate the value of $x$ .
$x = 15$
The value that makes the two fractions equivalent is:
$\boxed{15}$