How can you find the decimal form of 9/5 without dividing
The Correct Answer and Explanation is:
Correct Answer: 1.8
You can find the decimal form of 9/5 without traditional long division by using the concept of equivalent fractions and place value.
Start by recognizing that the denominator 5 is a factor of 10. Since 10 is a base of our decimal system, you can convert 9/5 into a fraction with a denominator of 10 or 100 to make the decimal clear.
Here’s how:
Multiply the numerator and the denominator of 9/5 by 2 to get a fraction with a denominator of 10:95=9×25×2=1810\frac{9}{5} = \frac{9 \times 2}{5 \times 2} = \frac{18}{10}59=5×29×2=1018
Now that the fraction has a denominator of 10, it can easily be written as a decimal. The fraction 18/10 means 18 tenths. In decimal form, this is written as 1.8 because 10 tenths equal 1 whole, and 8 tenths remain.
You can also think about the fraction in terms of mixed numbers. Since 5 fits into 9 once with 4 left over:95=145\frac{9}{5} = 1 \frac{4}{5}59=154
Then convert the fraction part 4/5 into a decimal. Since 4/5 is equal to 0.8, we can add this to the whole number 1 to get:1+0.8=1.81 + 0.8 = 1.81+0.8=1.8
This process avoids direct division by instead converting the fraction into an equivalent form with a denominator based on 10, making it simple to read the decimal.
This method is especially useful when the denominator is a factor of 10, 100, or 1000, allowing for straightforward decimal conversion through scaling. It reinforces number sense and makes it easier to visualize fractions as parts of a whole in decimal form.
