What is 6/10 equal to?
Understand the Problem
The question is asking for the decimal or simplified fraction equivalent of 6 divided by 10. To solve this, we will divide 6 by 10.
Answer
The simplified fraction is $\frac{3}{5}$ and the decimal equivalent is $0.6$.
Answer for screen readers
The simplified fraction is $\frac{3}{5}$ and the decimal equivalent is $0.6$.
Steps to Solve
- Set up the division
We want to divide 6 by 10, which can be represented mathematically as:
$$ \frac{6}{10} $$
- Simplify the fraction
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator (6) and the denominator (10). The GCD of 6 and 10 is 2. Now, divide both the numerator and the denominator by 2:
$$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$
- Convert to decimal
To convert the fraction to a decimal, we can perform the division directly:
$$ 6 \div 10 = 0.6 $$
Now we have both the simplified fraction and the decimal equivalent.
The simplified fraction is $\frac{3}{5}$ and the decimal equivalent is $0.6$.
More Information
Dividing fractions and converting them to decimal forms are common skills in arithmetic that help with understanding ratios and proportions. The simplified fraction can be useful in various mathematical applications, including cooking, construction, and finance.
Tips
- A common mistake is forgetting to simplify the fraction after dividing. Always check if you can reduce the fraction to its simplest form.
- Another mistake is miscalculating the division while converting to decimal. It's essential to double-check the arithmetic.
