4 months ago
Q:

What is 4/5 Divided by 13/17?

Accepted Solution

A:

Understanding Division of Fractions: An Example

Consider the division problem 4/5 ÷ 13/17. Here, 4/5 is the dividend (starts with numerator 4 and denominator 5) and 13/17 is the divisor (starts with numerator 13 and denominator 17).

To solve this problem, proceed with the following steps:

  1. Multiply the numerator of the dividend (4) by the denominator of the divisor (17): 4 × 17 = 68. This becomes the numerator of the answer.
  2. Multiply the denominator of the dividend (5) by the numerator of the divisor (13): 5 × 13 = 65. This becomes the denominator of the answer.
  3. Combine these into one fraction: 68/65.
  4. For decimal form, divide 68 by 65, resulting in 1.046 (to three decimal places).

As a result, 4/5 divided by 13/17 equals 1.046 in decimal form, and 68/65 in fractional form.

Practice Problems

You can practice your skills by solving similar problems:

  • What is 16/19 divided by 57?
  • 35 divided by what equals 50?
  • What divided by 66 equals 12?
  • What is 12/18 divided by 17/9?
  • What is 98 divided by 6/8?
All the above mentioned formula were constructed using LaTeX as follows: (1) 4/5 ÷ 13/17: $ \frac{4}{5} ÷ \frac{13}{17} $ (2) Multiply 4 and 17: $ 4 \times 17 = 68 (3) Multiply 5 and 13: $ 5 \times 13 = 65 $ (4) The result: $ \frac{68}{65} $ (5) In decimal form: $ \frac{68}{65} = 1.046 $