Daily Scribe 11/29 Caroline Hagan

Today in class we learned how to convert decimals into fractions!

Some examples of this are:

.35= 35/100= 35/100 / 5/5 (GCF of both numerator and denominator)= 7/20 REMEMBER: you always want to write the simplest form for your final answer.

.325 = 325/1000 =325/1000 / 25/25 = 13/40

2.45 = 2 45/100 / 5/5 = 2 9/20

Next we wrote these decimals as fractions in simplest form:

0.8 = 8/10 = 8/10 / 2/2= 4/5

1.3 = 1 3/10--------------------------Mixed number for simplest form if converting decimal to fraction

NEGATIVE:

-0.625 = - 625/1000 = - 625/1000 / 25/25 = 25/40 / 5/5 = - 5/8

*** For eighth fractions you keep adding 125 to each decimal to get the next eighth fraction : 0--0.000, 1/8---0.125, and so on..

We also reviewed what Terminating and Repeating decimals are :

Terminating Decimal: A decimal that ends.

Repeating Decimal: A digit or block of digits that repeat.

Writing A Repeating Decimal As A Fraction:

1) Identify how many digits repeat.

2) Place the repeating digits over the same number of 9's

3) Simplify

Example 1 : 0.33333.....

3/9 = 1/3

Example 2 : 0.454545...

45/99 = 5/11

Extra!!! o.99999...... = 1 !!!