1 1/6 Times 4 3/4

3 min read Jun 17, 2024
1 1/6 Times 4 3/4

Multiplying Mixed Numbers: 1 1/6 x 4 3/4

This article will guide you through the steps of multiplying the mixed numbers 1 1/6 and 4 3/4.

Converting Mixed Numbers to Fractions

Before we multiply, we need to convert the mixed numbers into improper fractions:

  • 1 1/6: Multiply the whole number (1) by the denominator (6) and add the numerator (1). This gives you 7. Keep the same denominator. So, 1 1/6 becomes 7/6.
  • 4 3/4: Multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives you 19. Keep the same denominator. So, 4 3/4 becomes 19/4.

Multiplication of Fractions

Now, we can multiply the two improper fractions:

(7/6) x (19/4) = (7 x 19) / (6 x 4) = 133/24

Simplifying the Result

The result, 133/24, is an improper fraction. Let's simplify it back into a mixed number:

  • Divide the numerator (133) by the denominator (24). This gives you 5 with a remainder of 13.
  • The quotient (5) becomes the whole number part of the mixed number.
  • The remainder (13) becomes the numerator of the fraction.
  • The denominator stays the same (24).

Therefore, 133/24 simplified is 5 13/24.

Conclusion

So, 1 1/6 times 4 3/4 is equal to 5 13/24. Remember, the key to multiplying mixed numbers is to convert them into improper fractions first and then follow the standard multiplication rules for fractions.