Simplifying Fractions: 5/4 × (3 × 1/4)
When dealing with fractions, it's essential to understand how to simplify them. In this article, we'll explore how to simplify the expression 5/4 × (3 × 1/4) as a fraction.
Evaluating the Expression
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expression inside the parentheses: 3 × 1/4
- Multiply the result by 5/4
Let's break it down step by step:
3 × 1/4
To multiply 3 by 1/4, we need to follow the rule for multiplying fractions:
3 × 1/4 = 3/1 × 1/4 = 3/4
5/4 × 3/4
Now, we need to multiply 5/4 by 3/4:
5/4 × 3/4 = (5 × 3)/(4 × 4) = 15/16
Simplified Fraction
Therefore, the simplified fraction for the expression 5/4 × (3 × 1/4) is:
15/16
In conclusion, by following the order of operations and the rules for multiplying fractions, we were able to simplify the expression 5/4 × (3 × 1/4) to the fraction 15/16.
