Adding Decimal and Fraction: Solve 0.5 + 1/2

Q: How do I know that 1/2 equals 0.5?

Divide the numerator by the denominator: 1 ÷ 2 = 0.5. This is a common fraction-decimal pair you should memorize along with ¼ = 0.25 and ¾ = 0.75.

Q: What if the fraction doesn't convert to a nice decimal?

Some fractions like $ \frac{1}{3} $ give repeating decimals (0.333...). In these cases, it's usually easier to convert the decimal to a fraction instead!

Q: Why do both positive signs matter in (+0.5) + (+1/2)?

The positive signs show that we're adding two positive numbers. Since both are positive, we add them directly without changing any signs. This gives us the final positive result of 1.

Q: Can I solve this problem using common denominators instead?

Absolutely! Convert 0.5 to $ \frac{5}{10} = \frac{1}{2} $, then add: $ \frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1 $. Same answer!

Decimal-Fraction Addition with Equivalent Forms

$(+0.5)+(+\frac{1}{2})=$

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Understand the problem

$(+0.5)+(+\frac{1}{2})=$

Step-by-step solution

The given mathematical expression is $(+0.5) + (+\frac{1}{2})$ . Let us solve this step by step:

Step 1: Recognize equivalency: $\frac{1}{2}$ in decimal form is $0.5$ .
Step 2: Rewriting the expression: $(+0.5) + (+0.5)$ .
Step 3: Direct addition: $0.5 + 0.5 = 1$ .

Both terms are positive, and hence they add directly without altering each other's sign, resulting in a total of $1$ . Therefore, the solution is $1$ .

Final Answer

$1$

Key Points to Remember

Essential concepts to master this topic

Equivalency: Convert between decimals and fractions using $\frac{1}{2} = 0.5$
Technique: Transform $0.5 + \frac{1}{2}$ to $0.5 + 0.5 = 1$
Check: Verify both forms give same result: $\frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1$ ✓

Common Mistakes

Avoid these frequent errors

Adding decimal and fraction without converting to same form
Don't try to add 0.5 + 1/2 directly without conversion = confusion and wrong answers! You can't combine different number formats meaningfully. Always convert both numbers to the same form (either both decimals or both fractions) before adding.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Should I convert the decimal to a fraction or the fraction to a decimal?

Either way works perfectly! Convert to whichever form you're more comfortable with. For $0.5 + \frac{1}{2}$ , you can use 0.5 + 0.5 = 1 or ½ + ½ = 1.

How do I know that 1/2 equals 0.5?

Divide the numerator by the denominator: 1 ÷ 2 = 0.5. This is a common fraction-decimal pair you should memorize along with ¼ = 0.25 and ¾ = 0.75.

What if the fraction doesn't convert to a nice decimal?

Some fractions like $\frac{1}{3}$ give repeating decimals (0.333...). In these cases, it's usually easier to convert the decimal to a fraction instead!

Why do both positive signs matter in (+0.5) + (+1/2)?

The positive signs show that we're adding two positive numbers. Since both are positive, we add them directly without changing any signs. This gives us the final positive result of 1.

Can I solve this problem using common denominators instead?

Absolutely! Convert 0.5 to $\frac{5}{10} = \frac{1}{2}$ , then add: $\frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1$ . Same answer!

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