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# Fractions & Decimals

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by

## lindamarie reyes

on 27 May 2014

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#### Transcript of Fractions & Decimals

Converting Faction & Decimals
Fractions To Decimals:
Step 1: Divide the numerator (top number) by the denominator
(bottom number)
Example:
3
5
To a decimal
Decimals To Fractions:
Step 1: Write the decimal over 1
Step 2: Multiply both numerator & denominator by 10 for every
number after the decimal point (if there are three numbers after
the decimal point then use 1000)
Step 3: Simplify if needed
Example: 0.60 as a Fraction
3
5
3 ÷ 5 = Answer: 0.60
0.60
1
60
100
3
5
6
10
Answer:
Turning Mixed Fraction Into
Improper Fractions
Fractions To Decimals:
Step 1: Multiply the whole number by the denominator

Step 2: Then, add the numerator

Step 3: The number you get is going to be the new numerator, and the denominator is going to be the same

Step 4: Simplify if needed
Example: 5
2
7
5 × 7 = 35
35 + 2 = 37
Answer: 37/7
Rounding Decimals
* 5 or more round up, 4 or less leave it as it is
Step 1: Decide what your last digit is going to be

Step 2: Look at the last number, decide if it going to be rounded up or down
- Keep in mind, if you last digit is 9 you round up to 1
Example 1: 0.473
Since the last number is 3 it is going to rounded down to 0.470
Example 3: 1.349
Since the last number is 9 it is going to be rounded up to 1.350
Subtracting/adding Decimals
Step 1: Line up the decimals

Step 2: If you’re subtracting or adding decimals from a whole number you put a decimal behind the whole number

Step 3: Then, you put as many zero’s as there needs to be even with the numbers behind the decimal in the second number

Step 4: Subtract/add
Example: 12.00 - 04.45
12.00
- 04.45
subtracting/adding fraction
same denominators:
Step 1: Subtract/add the first numerator from the second one
- leave the denominators the same

Step 2: simplify if needed
Example:
1
4
4
answer:
2
different denominators:
step 1: find a common factor for the denominators, this would be the new denominator

step 2: multiply the numerators by how much you multiplied the denominator

step 3: then, subtract/add the numerators and leave the denominators the same

step 4 : simplify if needed
5
4
10
14
example:
-
4
28
28
20
2
14
x2
x7
6
28
14
=
answer:
1
9
+
multiplying/dividing
decimals
multiplying:
Step 1: multiply (ignoring the decimals)

step 2: after, add the decimal point before how many decimal places are in the original problem combine
example:
4.53
0.25
x
2265
9060
+
1.1325
dividing:
step 1: on the first number move the decimal to the right, and on the second number move the decimal however many decimal places you the first number to then, but another decimal right above the decimal in the equation

step 2: divide
example:
27.59/3.5
2759.oooo
35
7.8829
multiplying/dividing
fractions
Multiplying:
step 1: reduce if needed

step 2: cross multiply

step 3: simplify if needed
Example :
2
5
1
2
=
answer:
2
10
dividing:
step 1: switch the numerator and the denominator on the second fraction (reciprocal)

step 2: then, multiply the both fractions together

step 3: simplify if needed
* if it is a mixed fraction turn it to an improper fraction

fractions & decimals
*jaylene cortes
*lindamarie reyes
*isabella rye
converting decimals to percents
STEP 1: you can change a decimal into a percent by moving the decimal to the right
example:
.25 slide x2 right
=25%
8
2
8
17
example:
.
.
8
17
=
answer:
8
2
1
1
17
x

2
8
1
2
7.55
1
4
3
1
5
the end
Full transcript