Solved on Feb 13, 2024

Create a word problem to solve for $\frac{1}{3} \div 5 = x$ . Model the equation and find the value of $x$ .

STEP 1

Assumptions
1. We need to create a word problem that can be modeled by the equation $\frac{1}{3} \div 5 = x$ .
2. We will then solve for $x$ using the given equation.

STEP 2

Create a word problem that fits the equation.
Let's say that you have $\frac{1}{3}$ of a cake and you want to share it equally among 5 friends. How much cake will each friend get?

STEP 3

Model the word problem with the given equation.
The equation that represents the situation is:
$\frac{1}{3} \div 5 = x$
where $x$ represents the amount of cake each friend gets.

STEP 4

Understand the operation involved.
Division by a number is the same as multiplying by its reciprocal.
$a \div b = a \times \frac{1}{b}$

STEP 5

Apply the concept of division as multiplication by the reciprocal to the given equation.
$x = \frac{1}{3} \times \frac{1}{5}$

STEP 6

Multiply the two fractions.
$x = \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5}$

STEP 7

Calculate the product of the numerators and denominators.
$x = \frac{1}{15}$
Each friend gets $\frac{1}{15}$ of the cake.

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Create a word problem to solve for $\frac{1}{3} \div 5 = x$ . Model the equation and find the value of $x$ .

STEP 1

Assumptions
1. We need to create a word problem that can be modeled by the equation $\frac{1}{3} \div 5 = x$ .
2. We will then solve for $x$ using the given equation.

STEP 2

Create a word problem that fits the equation.
Let's say that you have $\frac{1}{3}$ of a cake and you want to share it equally among 5 friends. How much cake will each friend get?

STEP 3

Model the word problem with the given equation.
The equation that represents the situation is:
$\frac{1}{3} \div 5 = x$
where $x$ represents the amount of cake each friend gets.

STEP 4

Understand the operation involved.
Division by a number is the same as multiplying by its reciprocal.
$a \div b = a \times \frac{1}{b}$

STEP 5

Apply the concept of division as multiplication by the reciprocal to the given equation.
$x = \frac{1}{3} \times \frac{1}{5}$

STEP 6

Multiply the two fractions.
$x = \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5}$

STEP 7

Calculate the product of the numerators and denominators.
$x = \frac{1}{15}$
Each friend gets $\frac{1}{15}$ of the cake.

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Create a word problem to solve for 13÷5=x\frac{1}{3} \div 5 = x31​÷5=x. Model the equation and find the value of xxx.

STEP 1

Assumptions1. We need to create a word problem that can be modeled by the equation 13÷5=x\frac{1}{3} \div 5 = x31​÷5=x.2. We will then solve for xxx using the given equation.

STEP 2

Create a word problem that fits the equation.Let's say that you have 13\frac{1}{3}31​ of a cake and you want to share it equally among 5 friends. How much cake will each friend get?

STEP 3

Model the word problem with the given equation.The equation that represents the situation is:13÷5=x \frac{1}{3} \div 5 = x 31​÷5=xwhere xxx represents the amount of cake each friend gets.

STEP 4

Understand the operation involved.Division by a number is the same as multiplying by its reciprocal.a÷b=a×1b a \div b = a \times \frac{1}{b} a÷b=a×b1​

STEP 5

Apply the concept of division as multiplication by the reciprocal to the given equation.x=13×15 x = \frac{1}{3} \times \frac{1}{5} x=31​×51​

STEP 6

Multiply the two fractions.x=13×15=1×13×5 x = \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5} x=31​×51​=3×51×1​

STEP 7

Calculate the product of the numerators and denominators.x=115 x = \frac{1}{15} x=151​Each friend gets 115\frac{1}{15}151​ of the cake.

Start learning now

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

Create a word problem to solve for $\frac{1}{3} \div 5 = x$ . Model the equation and find the value of $x$ .

Assumptions
1. We need to create a word problem that can be modeled by the equation $\frac{1}{3} \div 5 = x$ .
2. We will then solve for $x$ using the given equation.

Create a word problem that fits the equation.
Let's say that you have $\frac{1}{3}$ of a cake and you want to share it equally among 5 friends. How much cake will each friend get?

Model the word problem with the given equation.
The equation that represents the situation is:
$\frac{1}{3} \div 5 = x$
where $x$ represents the amount of cake each friend gets.

Understand the operation involved.
Division by a number is the same as multiplying by its reciprocal.
$a \div b = a \times \frac{1}{b}$

Apply the concept of division as multiplication by the reciprocal to the given equation.
$x = \frac{1}{3} \times \frac{1}{5}$

Multiply the two fractions.
$x = \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5}$

Calculate the product of the numerators and denominators.
$x = \frac{1}{15}$
Each friend gets $\frac{1}{15}$ of the cake.