Dividing Fractions: 1 1/4 Divided by 7
Dividing fractions can seem tricky, but with the right approach, it becomes a breeze! Let's break down how to solve 1 1/4 divided by 7.
Step 1: Convert the Mixed Number to an Improper Fraction
- 1 1/4 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (4) and adding the numerator (1): 1 * 4 + 1 = 5.
- The denominator remains the same, so 1 1/4 becomes 5/4.
Step 2: Rewrite the Whole Number as a Fraction
- Every whole number can be written as a fraction with a denominator of 1. Therefore, 7 can be written as 7/1.
Step 3: Invert the Divisor and Multiply
- Dividing by a fraction is the same as multiplying by its inverse. The inverse of 7/1 is 1/7.
- Now we have the problem: 5/4 * 1/7
Step 4: Multiply the Numerators and Denominators
- Multiply the numerators: 5 * 1 = 5
- Multiply the denominators: 4 * 7 = 28
- The answer is 5/28.
Therefore, 1 1/4 divided by 7 is equal to 5/28.