Solved on Mar 05, 2024

Find the number that, when divided into 44, gives the result.

STEP 1

Assumptions
1. We are looking for a number that, when divided into 44, yields a quotient.
2. We will represent the unknown number with a variable, typically $x$ .

STEP 2

Write an equation representing the situation where 44 is divided by an unknown number $x$ .
$\frac{44}{x} = quotient$

STEP 3

Since we want to solve for $x$ , we can set the quotient to 1 to represent the fact that 44 divided by $x$ equals 1 times $x$ .
$\frac{44}{x} = 1$

STEP 4

To solve for $x$ , we can multiply both sides of the equation by $x$ to isolate $x$ on one side of the equation.
$x \cdot \frac{44}{x} = x \cdot 1$

STEP 5

On the left side of the equation, $x$ cancels out in the numerator and denominator, leaving us with:
$44 = x$

STEP 6

We see that the number we were looking for is 44.
The number is 44.

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Find the number that, when divided into 44, gives the result.

STEP 1

Assumptions
1. We are looking for a number that, when divided into 44, yields a quotient.
2. We will represent the unknown number with a variable, typically $x$ .

STEP 2

Write an equation representing the situation where 44 is divided by an unknown number $x$ .
$\frac{44}{x} = quotient$

STEP 3

Since we want to solve for $x$ , we can set the quotient to 1 to represent the fact that 44 divided by $x$ equals 1 times $x$ .
$\frac{44}{x} = 1$

STEP 4

To solve for $x$ , we can multiply both sides of the equation by $x$ to isolate $x$ on one side of the equation.
$x \cdot \frac{44}{x} = x \cdot 1$

STEP 5

On the left side of the equation, $x$ cancels out in the numerator and denominator, leaving us with:
$44 = x$

STEP 6

We see that the number we were looking for is 44.
The number is 44.

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Find the number that, when divided into 44, gives the result.

STEP 1

Assumptions1. We are looking for a number that, when divided into 44, yields a quotient.2. We will represent the unknown number with a variable, typically x x x.

STEP 2

Write an equation representing the situation where 44 is divided by an unknown number x x x.44x=quotient \frac{44}{x} = quotient x44​=quotient

STEP 3

Since we want to solve for x x x, we can set the quotient to 1 to represent the fact that 44 divided by x x x equals 1 times x x x.44x=1 \frac{44}{x} = 1 x44​=1

STEP 4

To solve for x x x, we can multiply both sides of the equation by x x x to isolate x x x on one side of the equation.x⋅44x=x⋅1 x \cdot \frac{44}{x} = x \cdot 1 x⋅x44​=x⋅1

STEP 5

On the left side of the equation, x x x cancels out in the numerator and denominator, leaving us with:44=x 44 = x 44=x

STEP 6

We see that the number we were looking for is 44.The number is 44.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. We are looking for a number that, when divided into 44, yields a quotient.
2. We will represent the unknown number with a variable, typically $x$ .

Write an equation representing the situation where 44 is divided by an unknown number $x$ .
$\frac{44}{x} = quotient$

Since we want to solve for $x$ , we can set the quotient to 1 to represent the fact that 44 divided by $x$ equals 1 times $x$ .
$\frac{44}{x} = 1$

To solve for $x$ , we can multiply both sides of the equation by $x$ to isolate $x$ on one side of the equation.
$x \cdot \frac{44}{x} = x \cdot 1$

On the left side of the equation, $x$ cancels out in the numerator and denominator, leaving us with:
$44 = x$

We see that the number we were looking for is 44.
The number is 44.