Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
the total amount is 53.316
the amount of people is 3
To determine the amount that each person will pay, we can divide the total amount by the number of people.
Let's denote the total amount as T and the number of people as N.
The expression using fractions would be: T / N.
Given that the total amount is 53.316 and the number of people is 3, we can substitute the values into the expression.
Amount each person will pay = 53.316 / 3
Now let's calculate each person's contribution using long division:
_________
3 | 53.316
- 51
----
13
- 12
---
13
- 12
---
4
Therefore, each person will pay approximately 17.772.
can you show to write an expression with the fractions
Certainly! To write the expression with fractions, we can represent the total amount and the number of people as fractions.
Let's denote the total amount as T and the number of people as N.
The expression using fractions would be: T / N.
Given that the total amount is 53.316 and the number of people is 3, we can represent these values as fractions.
Total amount: T = 53.316 / 1
Number of people: N = 3 / 1
Now we can substitute these fractions into the expression:
Amount each person will pay = (53.316 / 1) / (3 / 1)
To simplify the expression, we can multiply the numerator by the reciprocal of the denominator:
Amount each person will pay = (53.316 / 1) * (1 / 3)
Now, we can multiply the numerators and denominators:
Amount each person will pay = (53.316 * 1) / (1 * 3)
Simplifying further, we get:
Amount each person will pay = 53.316 / 3
Therefore, the expression with fractions to determine the amount each person will pay is 53.316 / 3.
To determine the amount that each person will pay, we need to divide the total amount by the number of people.
Expression:
Total Amount ÷ Number of People
Given:
Total Amount = 53.316
Number of People = 3
Now, let's calculate each person's contributions using long division:
Step 1: Write down the total amount as a fraction.
53.316 = 53 316/1000
Step 2: Divide the fraction by the number of people.
53 316/1000 ÷ 3
Step 3: Convert the division to a fraction.
53 316/1000 ÷ 3/1 = (53 316/1000) × (1/3)
Step 4: Simplify the multiplication.
(53 316 × 1) / (1000 × 3) = 53 316/3000
Step 5: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12 in this case.
53 316 ÷ 12 / 3000 ÷ 12 = 4443/250
Therefore, each person's contribution is 4443/250.