Daily Scribe-Courtney

Today in class we learned how to write and solve fractions as a decimal. We also learned about terminating decimals, repeating decimals, and how to write mixed numbers as a fraction. REMEMBER: the lowest common denominator is the same as the least common multiple!

How to slove fractions as a decimal

When solving fractions as a decimal, you should divide the numerator by the denominator.

Example:
Numerator Denominator answer
1/4..........................1 / 4 =0.25
2/7..........................2 / 7 = 0.29
9/10........................9 / 10 = 0.90


Terminating decimal- A decimal which ends or "terminates" dividing the numerator of a fraction by the denominator produces a remainder of zero.

Repeating decimal- A decimal with a digit or digits that repeat in an identical pattern forever.

Examples of a terminating decimal- 4/5 1/25 0.75 3.125
~these all have a remainder of zero, and don't go on forever

Examples of a repeating decimal- 4/11 7/15 66.666... 4.424242.... 5.987987987....
~the remainder will repeat forever, in a pattern

Remember: .99999......... repeating would actually equal 1

Writing mixed numbers as decimals

First, you should multiply the denominator by the regular number. Then, add the numerator to your answer when you multiply the denominator and number. To write a mixed number as a decimal, first write it as an improper fraction. Then, divide the improper fraction by the numerator, then the denominator.

Examples: 3 2/5 (three and two fifths)
First, multiply 5*3 (denominator and number), then add 2 (numerator) to get ... 17
Then, divide the numerator (17) by the denominator (5). 5
17/5......................3.40
3 2/5= 3.40


1 8/10 (one and eight tenth)
First, multiply 10*1 (denominator and number), then add 8 (numerator) to get......18
Then, divide the numerator (18) by the denominator (10). 10
18/10................1.80


What does 20/9 equal?

First, find out what multiple of 9 goes into 20, or one that is the closest to 20.
9*2=18, which is the closest to 20.
2 would be used as the whole number; not the denominator or numerator, since it's the closest multiple to 20. Since 2*9=18, the left over number is 2, because 20-18=2.
The numerator is 2, which is the left over number, and the denominator from the regular number which is 9, stays the same.
The answer is 2 2/9