Multiplying Mixed Numbers: 2 4/5 x 3 1/8
When multiplying mixed numbers, it's essential to follow a specific procedure to ensure accurate results. In this article, we'll guide you through the step-by-step process of multiplying 2 4/5 and 3 1/8 in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
2 4/5 = ?
To convert 2 4/5 to an improper fraction, we multiply the whole number part (2) by the denominator (5) and add the numerator (4).
2 × 5 = 10 10 + 4 = 14
So, 2 4/5 = 14/5
3 1/8 = ?
Similarly, we convert 3 1/8 to an improper fraction.
3 × 8 = 24 24 + 1 = 25
So, 3 1/8 = 25/8
Step 2: Multiply the Improper Fractions
Now that we have the improper fractions, we can multiply them.
14/5 × 25/8 = ?
To multiply fractions, we multiply the numerators and multiply the denominators.
Numerator: 14 × 25 = 350 Denominator: 5 × 8 = 40
So, 14/5 × 25/8 = 350/40
Step 3: Simplify the Fraction (Optional)
We can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 350 and 40 is 10.
350 ÷ 10 = 35 40 ÷ 10 = 4
So, 350/40 = 35/4
Final Answer
The result of multiplying 2 4/5 and 3 1/8 in fraction form is 35/4.
