Simplifying Fractions: 1 4/5 x 3/4 x 5/6 as a Fraction
In this article, we will explore how to simplify the expression 1 4/5 x 3/4 x 5/6 as a fraction.
Understanding the Expression
The given expression is a combination of mixed numbers and fractions. Let's break it down:
- 1 4/5 is a mixed number, which means it's a combination of a whole number (1) and a fraction (4/5).
- 3/4 and 5/6 are fractions.
Simplifying the Expression
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Multiply the fractions: 4/5 x 3/4 x 5/6
- Simplify the resulting fraction
Step 1: Multiplying the Fractions
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately:
(4/5) × (3/4) × (5/6) = (4 × 3 × 5) / (5 × 4 × 6)
= 60 / 120
Step 2: Simplifying the Resulting Fraction
The resulting fraction is 60/120. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD):
60 ÷ 20 = 3 120 ÷ 20 = 6
So, the simplified fraction is:
3/6
Final Answer
The simplified expression 1 4/5 x 3/4 x 5/6 as a fraction is:
3/6
In its simplest form, the fraction is equal to 1/2.
