46/11 Rounded to the Nearest Tenth
Here we will show you step-by-step how to get the solution to: "What is 46/11 rounded to the nearest tenth?"
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
46 / 11 = 4.18
There are two parts to the decimal number above:
Integer Part: 4
Fractional Part: 18
Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*
In this case, Rule II applies, so 46/11 (or 4.18) rounded to the nearest tenth in decimal format is:
4.2
Next, we will make 46/11 rounded to the nearest tenth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
4.2 = 4.2/1
Then, we multiply the numerator and denominator by 10 to get rid of the decimal point:
(4.2 x 10) / (1 x 10) = 42/10
That's it. 46/11 rounded to the nearest tenth is displayed below (simplified if necessary):
4 1/5
Fraction Rounded to the Nearest Tenth
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* Rounding Rules
Rule I) If the last digit in the Fractional Part is less than 5, then we remove the last the digit of the Fractional Part.
Rule II) If the last digit in the Fractional Part is 5 or more and the first digit in the Fractional Part is less than 9, then add 1 to the first digit of the Fractional Part and remove the second digit.
Rule III) If the last digit in the Fractional Part is 5 or more and the first digit in the Fractional Part is 9 then add 1 to the Integer Part and make the Fractional Part 0.
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