Convert Fraction to Decimal: Finding the Decimal Form of 3/10

Question

Convert to decimal fraction 310 \frac{3}{10}

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Based on the number of zeros in the denominator, we'll know how many places to move the decimal point to the left:
00:06 There is one zero in the denominator, so we'll move the decimal point one place to the left
00:09 Place the numerator in the appropriate position after the decimal point
00:13 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's convert the fraction 310\frac{3}{10} into a decimal.

First, identify the given fraction: 310\frac{3}{10}.

Since the denominator is 10, a power of 10, the conversion to a decimal is straightforward. The fraction 310\frac{3}{10} can be interpreted as dividing 3 by 10.

Perform the division: 3÷10=0.3 3 \div 10 = 0.3 .

This results in the decimal number 0.30.3.

Therefore, the decimal conversion of the fraction 310\frac{3}{10} is 0.3\mathbf{0.3}.

Answer

0.3