Dividing Fractions: 1 1/2 Divided by 1/4
Dividing fractions can seem tricky, but with a little understanding, it becomes simple. Let's break down how to solve 1 1/2 divided by 1/4.
1. Convert Mixed Number to a Fraction
First, we need to convert the mixed number, 1 1/2, into an improper fraction. We do this by multiplying the whole number (1) by the denominator of the fraction (2) and adding the numerator (1). This gives us 3/2.
2. The Reciprocal Rule
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is found by flipping the numerator and denominator. So, the reciprocal of 1/4 is 4/1.
3. Multiplication
Now we have: 3/2 divided by 1/4 becomes 3/2 multiplied by 4/1.
4. Multiplying Fractions
To multiply fractions, we multiply the numerators and the denominators.
- (3 * 4) / (2 * 1) = 12/2
5. Simplify
Finally, we simplify the resulting fraction: 12/2 = 6.
Therefore, 1 1/2 divided by 1/4 is equal to 6.