What is 9/20 Divided by 10/17?

Understanding the concept of dividing fractions will enable you to simplify any fraction division question. Here we have 9/20 divided by 10/17. The parts of this division are:

Numerator of the dividend: 9
Denominator of the dividend: 20
Numerator of the divisor: 10
Denominator of the divisor: 17

To find the answer in both fraction and decimal forms, follow these steps:

1. Multiply the numerator of the dividend (9) by the denominator of the divisor (17). The result, 153, becomes the numerator:
\[9 \times 17 = 153\]
2. Multiply the denominator of the dividend (20) by the numerator of the divisor (10). The result, 200, becomes the denominator:
\[20 \times 10 = 200\]
3. Combine these results to create a single fraction, 153/200 :
\[\frac{153}{200}\]
4. To convert this fraction to decimal, divide the numerator (153) by the denominator (200), rounding to three decimal places if needed:
\[\frac{153}{200} = 0.765\]

So: 9/20 divided by 10/17 equals 0.765 in decimal form and 153/200 in fractional form.

Further practice will reinforce these concepts. Try these problems: 16/1 divided by 36; What divided by 55 equals 95?; 12/20 divided by 18/14?; 20 divided by 11/19?