What is 34 Divided by 16/9?

Understanding the Concept of Division with Fractions

We are tasked with finding the result of dividing the number 34 by the fraction 16/9. Here is a step-by-step guide to make it less confusing:

• Declare variables: whole number (34), numerator of the divisor (16), and the denominator of the divisor (9).
• Understanding what 34 divided by 16/9 actually means, this involves performing the opposite operation on the divisor, which is multiplication.

Step by Step Solution

Let's break down the process:

• \(34 \div \frac{16}{9} = 34 \times \frac{9}{16}\)
• Step 1: Multiply 34 by the reciprocal of the fraction (which is 9/16): \(34 \times 9 = 306\)
• Step 2: Use the numerator of the original fraction, 16, as the new denominator: \(\frac{306}{16}\)
• To receive the answer in decimal form, divide 306 by 16 to get: \(19.13\)

Finally, we find that 34 divided by 16/9 is equal to 19.13 in decimal form or \(\frac{153}{8}\) in fractional form.

Test Your Division Skills

Challenging yourself with some other similar division problems will help you master this topic. Here are some problems you could try:

• Find the value when it is divided by 74 to get 94?
• What is 22 divided by 3/11?
• Calculate 20/9 divided by 15/7?
• What value when divided by 93 gives 55?
• Figure out 13/17 divided by 69?