Dividing Fractions: 1 1/4 Divided by 5/7
Dividing fractions can seem tricky, but with a few simple steps, it becomes a breeze. Let's explore how to solve 1 1/4 divided by 5/7.
Step 1: Convert Mixed Number to an Improper Fraction
First, we need to change the mixed number 1 1/4 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us 5. We then keep the same denominator (4), resulting in 5/4.
Step 2: Flip the Second Fraction and Multiply
The next step is to flip the second fraction, 5/7, and multiply it by the first fraction. This is called finding the reciprocal. The reciprocal of 5/7 is 7/5.
Now we have: 5/4 * 7/5
Step 3: Multiply the Numerators and Denominators
Multiply the numerators together (5 * 7 = 35) and the denominators together (4 * 5 = 20). This gives us 35/20.
Step 4: Simplify (Optional)
Finally, we can simplify the fraction 35/20 by dividing both the numerator and denominator by their greatest common factor, which is 5. This leaves us with 7/4.
The Answer
Therefore, 1 1/4 divided by 5/7 is equal to 7/4. This can also be expressed as the mixed number 1 3/4.