Simplifying Fractions: 14/15 × 3/2 in Simplest Form
When dealing with fractions, it's essential to simplify them to their lowest terms. In this article, we'll guide you through the process of simplifying the fraction 14/15 × 3/2 using a calculator.
The Problem
The given fraction is:
14/15 × 3/2
To simplify this fraction, we need to follow the order of operations (PEMDAS):
- Multiply the numerators (numbers on top)
- Multiply the denominators (numbers at the bottom)
- Simplify the resulting fraction
Step 1: Multiply the Numerators
Multiply the numerators:
14 × 3 = 42
Step 2: Multiply the Denominators
Multiply the denominators:
15 × 2 = 30
Step 3: Simplify the Resulting Fraction
Now, we have the resulting fraction:
42/30
To simplify this fraction, we need to find the greatest common divisor (GCD) of 42 and 30.
GCD of 42 and 30
The GCD of 42 and 30 is 6.
Simplify the Fraction
Divide both the numerator and the denominator by the GCD:
42 ÷ 6 = 7 30 ÷ 6 = 5
The simplified fraction is:
7/5
Using a Calculator
If you prefer to use a calculator, you can enter the expression 14/15 * 3/2 and simplify it. The calculator will give you the result in the simplest form, which is:
7/5
Conclusion
In this article, we demonstrated how to simplify the fraction 14/15 × 3/2 using the order of operations and finding the GCD. The resulting simplest form is 7/5. Remember, simplifying fractions is an essential skill in mathematics, and with practice, you'll become proficient in no time!
