1 1/4 Divided By 5 As A Fraction

2 min read Jun 17, 2024
1 1/4 Divided By 5 As A Fraction

Dividing Fractions: 1 1/4 Divided by 5

Dividing fractions can seem tricky, but with the right steps, it becomes straightforward. Let's tackle the problem of 1 1/4 divided by 5 and find the answer as a fraction.

Step 1: Convert Mixed Number to a Fraction

First, we need to convert the mixed number 1 1/4 into an improper fraction.

  • Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
  • Add the numerator (1): 4 + 1 = 5
  • Keep the same denominator (4): 5/4

Now our problem is 5/4 divided by 5.

Step 2: Convert Whole Number to a Fraction

We can rewrite 5 as a fraction by putting it over 1: 5/1.

Step 3: Invert the Second Fraction and Multiply

When dividing fractions, we invert the second fraction and multiply. This means we'll flip 5/1 to 1/5. Now our problem is (5/4) * (1/5)

Step 4: Multiply Numerators and Denominators

  • Multiply the numerators: 5 * 1 = 5
  • Multiply the denominators: 4 * 5 = 20

This gives us 5/20.

Step 5: Simplify the Fraction

The fraction 5/20 can be simplified. Both the numerator and denominator are divisible by 5.

  • 5 ÷ 5 = 1
  • 20 ÷ 5 = 4

Therefore, 1 1/4 divided by 5 is equal to 1/4.

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