Convert 3/5 into decimal form.
point A. 0.6 B. 0.7 C. 0.8 D. 0.9
The correct answer and explanation is:
The correct answer is:
A. 0.6
Explanation:
To convert a fraction into decimal form, you divide the numerator (the top number) by the denominator (the bottom number).
Here, the fraction is 3/5.
- Numerator = 3
- Denominator = 5
So, perform the division: 3÷5=0.63 \div 5 = 0.6
This means that 3 divided by 5 equals 0.6 in decimal form.
Why is this conversion useful?
Fractions and decimals are two different ways to represent parts of a whole. While fractions use two integers (numerator and denominator), decimals represent numbers based on powers of 10.
- Fractions like 3/5 show the ratio between two integers.
- Decimals like 0.6 make it easier to perform arithmetic operations such as addition, subtraction, multiplication, and division with other decimal numbers or in calculators.
Understanding the decimal 0.6:
- The decimal 0.6 means six tenths, or 610\frac{6}{10}.
- You can also simplify or check equivalency by multiplying numerator and denominator of the fraction 3/5 by 2 to get 610\frac{6}{10}, which corresponds exactly to 0.6.
Additional note on conversions:
- When the denominator is a factor of 10 (like 5, which divides evenly into 10), the decimal conversion is straightforward.
- For denominators that don’t divide evenly into 10 or its powers (like 3 or 7), the decimal equivalent can be a repeating decimal (like 0.333… for 1/3).
Summary:
3/5 = 0.6, so the correct answer is A. 0.6.