1/2×30: Understanding Fraction Multiplication
What does 1/2×30 mean?
When we see an expression like 1/2×30, it can be a bit confusing, especially for those who are new to fraction multiplication. Don't worry, we're here to break it down and make it easy to understand.
Multiplying Fractions by Whole Numbers
To evaluate the expression 1/2×30, we need to understand how to multiply a fraction by a whole number. The rule is simple:
Fraction × Whole Number = New Fraction
In this case, we multiply the numerator (1) by the whole number (30), and keep the denominator (2) the same.
Calculating 1/2×30
Let's do the math:
- Multiply the numerator (1) by the whole number (30): 1 × 30 = 30
- Keep the denominator (2) the same: 2
- Write the new fraction: 30/2
Simplifying the Fraction
We can simplify the fraction 30/2 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 30 and 2 is 2. So, we divide both numbers by 2:
30 ÷ 2 = 15 2 ÷ 2 = 1
The simplified fraction is: 15/1, which is equal to 15.
Conclusion
So, 1/2×30 is equal to 15. Remember, multiplying a fraction by a whole number is a simple process, and simplifying the resulting fraction can be done by dividing both numerator and denominator by their GCD.
