7/10 as a decimal is 0.7
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Question 1Convert the fraction
What is 7/10 written as a decimal?
0.7.
Divide 7 by 10.
Question 2Check with multiplication
How can you check the decimal value of 7/10?
Multiply 0.7 by 10; the result is 7.
Multiplication reverses the division used to convert the fraction.
Question 3Convert to a percentage
What percentage is equivalent to 7/10?
70%.
Multiply the decimal 0.7 by 100.
Question 4Place the value on a number line
Between which two consecutive whole numbers does 7/10 lie?
It lies between 0 and 1.
Its decimal value is 0.7.
The fraction is used to denote the number of parts represented out of the whole number of parts.
Example: Doug has 7 pieces of cake. He ate 2 pieces out of it. Then the amount of cake had by him is given by the fraction .
Solution
The conversion of the fraction to a decimal is the representation in which the whole number in the fraction is represented before the decimal and the fraction part is represented after the decimal.
The long division method is used to convert the fraction to decimal form.
There are also certain fractions that do not require actual division using the long division method.
The fractions with denominators that constitute of 1 followed by one or more zeros can be converted to decimal form by moving the decimal point in the numerator to the left as many digits as the zeros in the denominator.
Example:
The decimal form of the fraction is 0.3.
The denominator of this fraction has the value 10 which is 1 followed by one zero, hence the decimal point in the numerator 3 is moved one digit to the left, which gives 0.3.
Similarly, the fraction is written as 0.7.
Remember
Here are some common terms you should be familiar with.
- In the fraction , the number 7 is the dividend (our numerator)
- The number 10 is our divisor (our denominator).
Find More Fractions to Decimals
Also, you can read about what 5/12 is as a decimal fraction.