# Laughner - Percent and Decimals 1.1.7

HS Math

Created on September 11, 2024

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## Transcript

Start

Percent & Decimals

##### Both represent part of a whole

##### Think about our coins.Each coin represents part of $1.00

##### How are Fractions & Decimals alike?

40 ¢

You have 2/5 (two-fifths) of a dollar. How would you find the eqivalent fraction?

Fraction to decimal comparison

##### Part of a Whole

##### 0.# - tenths place 0.0# - hundreths place

#### Fraction

#### Decimal

##### Out of 100

#### Percent

Percent, Decimal, & Fraction Forms

##### Click here to check your work here.

##### How can you represent the following percents?

Percent, Decimal, & Fraction Forms

Place percent over 100 to write the fraction-Reduce if needed

Divide by 100

Multiply by 100

Divide numerator by denominator

##### Percent to Fraction

##### Percent to Decimal

##### Decimal to Percent

##### Fraction to Decimal

Denominators that are not factors of 100

#### PEMDAS

##### Sometimes you will need to convert fractions and percentages to decimals to make it easier to solve the problem.

Expressions & equations

##### -0.33x + 700% = 30

Practice question

- Stores offering percent discount on products

- Salesperson being paid a percentage of sales

- Percent increase in living expenses

Here are some examples.

##### How does this work in the Real World?

Remember to convert the percent to a decimal.

##### What is 34% of 60?

#### What percentage of ___ is ___?

##### What percent of 50 is 4?

Remember to convert the percent to a decimal.

##### 81% of what amount is 100?

#### What percentage of ___ is ___?

Identify the percent, the whole, and the part.

### Hint:

What number is 60% of 130?

(percent as a decimal)(whole) = part

Solve the Equation, Part 2

Solve the Resulting Two-Step Equation, Part 1

Eliminate the Fraction Using a Common Denominator

solving two-step equations with fractions

two-step equations

There are 29 sandwiches at a party. The sandwiches are divided into thirds so that each person will get one-third (1 / 3) of a sandwich.

##### Real World Practice Question

##### Check - In

#### OR

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