Converting

Decimals/Fractions

Reducing to Lowest Terms

There are two different ways to reduce a fraction to lowest terms.

1. Keep _______ the __________ (top) & ___________ (bottom) by the common _________ until they don’t have anything else in common.

84/100 example on board

dividing

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

factors

numerator denominator

Reducing to Lowest Terms

There are two different ways to reduce a fraction to lowest terms.

2. Known as the ________ method.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

ladder

How can we use the Ladder method to reduce 24/60?Divide out all the common factors down the left

side.

What numbergoes into both

24 and 60?Does any # besides 1

go into both 12 and 30?How about6 and 15?

Anything else?

No?You’re done.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Which numbers in the ladder give you the

simplified fraction?

The numbers on the bottom of the ladder

are your simplified numerator

and denominator.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

How can we use the Ladder method to reduce 24/60?

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Use the Ladder to reduce 36/60…

On the board

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Vocabulary –Shoot For The Stars

30 seconds I got this! I know this word AND I could even teach it to somebody else.

I think I know this word, but I need more practice.

I am clueless! I have no idea what this word means.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Vocabulary – Abbreviate when you can.

Numerator: __________________________________________

Denominator: ____________________________________________

INDEED!

Place Value: ____________________________________________

The number on top of a fraction bar

The number on bottom of a fraction bar

The value that a digit has by virtue of its position a the #.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Place Value Example

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Commercial BreakQuote of the Day:

“To succeed, you need to find something to hold on to, something to motivate you, something to inspire you.”

– Tony Dorsett

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

THINK/PAIR/SHAREQuickwrite

IN YOUR OWN WORDS, WRITE A COMPLETE SENTENCE THAT DESCRIBES AN EASY WAY TO REMEMBER THE DIFFERENCE BETWEEN THE NUMERATOR AND DENOMINATOR.

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

Fraction to DecimalTo convert a ________ to a __________, I need to divide the __________

by the _____________. In other words, I need to divide the _______ by

the _________.

1/2 3/4 3/8 On board

decimal numerator

top

bottom

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

fraction

denominator

Decimal to FractionTo convert a ________ to a __________, I need to __________

it properly in my head using the __________ __________. Then I just

____________ the ___________ I just said.

.25 .7 3.55 On board

fraction “Say”

reduce fraction

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.

decimal

Place Value

Modeling – Thinking Map

CONVERTING

Frac to Dec

Dec to Frac

Top ÷ BottomNumerator Denominator

Say it properly using place values

Reduce using Ladder or

Other method

Essential Question (EQ): Explain the two steps needed to convert from a decimal number to a fraction. Explain the process of converting a fraction to a decimal.