3 1/2 times 1 1/4 as a Fraction
In this article, we will explore how to multiply mixed numbers and express the result as a fraction.
The Problem
The problem we want to solve is:
3 1/2 × 1 1/4 = ?
Step-by-Step Solution
To multiply mixed numbers, we need to follow these steps:
Step 1: Convert mixed numbers to improper fractions
First, let's convert both mixed numbers to improper fractions:
3 1/2 = 7/2 (since 3 × 2 + 1 = 7) 1 1/4 = 5/4 (since 1 × 4 + 1 = 5)
Step 2: Multiply the numerators and denominators
Next, we multiply the numerators (7 and 5) and the denominators (2 and 4):
Numerator: 7 × 5 = 35 Denominator: 2 × 4 = 8
Step 3: Write the result as a fraction
Now, we can write the result as a fraction:
35/8
The Answer
Therefore, 3 1/2 times 1 1/4 as a fraction is:
35/8
This is the result of multiplying the two mixed numbers and expressing the answer as a fraction.