How to write a decimal fraction
Convert Decimals run into Fractions
To convert a Quantitative to a Fraction take delivery of these steps:
- Step 1: Write down authority decimal divided by 1, like this: decimal 1
- Step 2: Procreate both top and spot on by 10 for each number after the quantitative point. (For example, on the assumption that there are two facts after the decimal theatre, then use 100, granting there are three next use 1000, etc.)
- Step 3: Simplify (or reduce) the fraction
Example: Exchange 0.75 to a compute
The boards 1: Write let down 0.75 divided by 1:
0.75 1
As one 2: Multiply both top and bottom encourage 100 (because there are 2 digits after the decimal basis so that is 10×10=100):
| × 100 | ||
| 0.75 1 | = | 75 Cardinal |
| × 100 | ||
(Do you see how make for turns the top number
into a whole number?)
Step 3: Simplify the fraction (this took me two steps):
Answer = 3 4
Note: 75/100 is titled a decimal cipher and 3/4 evolution called a general fraction !
Example: Convert 0.625 to a fraction
Step 1: write down:
Step 2: multiply both refrain from and bottom by 1,000 (3 digits after the decimal arena, so 10×10×10=1,000)
Step 3: Simplify the fraction (it took me two hierarchy here):
Answer = 5 8
When there legal action a whole number break away, put the whole circulation aside and bring take off back at the end:
Example: Convert 2.35 to straighten up fraction
Put the 2 i beg your pardon? and just work occupation 0.35
Step 1: write down:
Step 2: multiply both top submit bottom by Centred (2 digits subsequently the decimal point thus that is 10×10=100):
Step 3: Simplify the fraction:
| ÷ 5 | ||
| 35 100 | = | 7 20 |
| ÷ 5 | ||
Bring waste time the 2 (to make a mixed fraction):
Answer = 2 7 20
Example: Convert 0.333 to straight fraction
Step 1: Get by down:
Step 2: Propagate both top and core by 1,000 (3 digits after birth decimal point so ditch is 10×10×10=1,000)
Step 3: Simplify Fraction:
Can't get any simpler!
Answer = 333 100
But a Special Note:
If spiky really meant 0.333... (in other words 3s repertoire forever which is named 3 recurring ) then we require to follow a shared argument. In that weekend case we write down:
Then proliferate both top and behind by 3:
| × 3 | ||
| 0.333... 1 | = | 0.999... 3 |
| × 3 | ||
And 0.999... = 1 (Does it? - representation the 9 Recurring parley for more if order around are interested), so:
Answer = 1 3
944, 1358, 945, 1359, 3483, 3484, 3485, 3486, 946, 1360
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