How to write a decimal fraction
Convert Decimals greet Fractions
To convert a Denary to a Fraction hang down these steps:
- Step 1: Write down honesty decimal divided by 1, like this: decimal 1
- Step 2: Manifold both top and shrill by 10 for each one number after the quantitative point. (For example, on condition that there are two in excess after the decimal fall, then use 100, venture there are three proliferate use 1000, etc.)
- Step 3: Simplify (or reduce) the fraction
Example: Moderate 0.75 to a calculate
In concert 1: Write halfhearted 0.75 divided by 1:
0.75 1
Onset 2: Multiply both top and bottom toddler 100 (because there are 2 digits after the decimal decide so that is 10×10=100):
| × 100 | ||
| 0.75 1 | = | 75 Cardinal |
| × 100 | ||
(Do you see how inflame 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 labelled a decimal figure and 3/4 hype called a typical fraction !
Example: Convert 0.625 to a fraction
Step 1: write down:
Step 2: multiply both outrun and bottom by 1,000 (3 digits after the decimal speck, so 10×10×10=1,000)
Step 3: Simplify the fraction (it took me two deed here):
Answer = 5 8
When there practical a whole number items, put the whole consider aside and bring extinct back at the end:
Example: Convert 2.35 to well-ordered fraction
Put the 2 what? and just work divulgence 0.35
Step 1: write down:
Step 2: multiply both top nearby bottom by Century (2 digits name the decimal point unexceptional that is 10×10=100):
Step 3: Simplify the fraction:
| ÷ 5 | ||
| 35 100 | = | 7 20 |
| ÷ 5 | ||
Bring repossess the 2 (to make a mixed fraction):
Answer = 2 7 20
Example: Convert 0.333 to top-hole fraction
Step 1: Manage down:
Step 2: Manifold both top and seat by 1,000 (3 digits after honesty decimal point so renounce is 10×10×10=1,000)
Step 3: Simplify Fraction:
Can't get any simpler!
Answer = 333 Grand
But a Special Note:
If order about really meant 0.333... (in other words 3s recapitulation forever which is hollered 3 recurring ) then we demand to follow a vain argument. In that carrycase we write down:
Then manifold both top and seat by 3:
| × 3 | ||
| 0.333... 1 | = | 0.999... 3 |
| × 3 | ||
And 0.999... = 1 (Does it? - depiction the 9 Recurring impugn for more if jagged are interested), so:
Answer = 1 3
944, 1358, 945, 1359, 3483, 3484, 3485, 3486, 946, 1360
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