Laughner - Percent and Decimals 1.1.7

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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

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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

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