4 months ago
Q:

What is 5/16 Divided by 8/9?

Accepted Solution

A:

Title: Understanding Fraction Divisions - A simple example: 5/16 divided by 8/9.

This tutorial explains the step-by-step method to calculate this fractional division problem. Calculations are within 500 characters and are expressed through Latex formatted equations, suitable for embedding on web platforms.

Identifying the components: - Both fractions can be separated into their distinct parts. For 5/16, it is 5 (numerator) over 16 (denominator). Similarly, for 8/9, it's 8 (numerator) over 9 (denominator).
Step 1: - Start by multiplying the divisor's denominator (9) and the dividend's numerator (5), resulting in: $$5 \times 9= 45$$ Now, we have our answer's numerator. Step 2: - Next, proceed by multiplying the dividend's denominator (16) with the divisor's numerator (8), to get $$16 \times 8 = 128$$ This gives us our answer's denominator. Step 3: - Next, combine Step 1 and 2 results: $$\frac{45}{128}$$ This represents your answer in fractional form. Expressing in decimal: - Further, to represent the solution in decimal format, you divide the numerator (45) by the denominator (128), resulting in 0.352. In conclusion - 5/16 divided by 8/9 equals 0.352 in decimal form and 45/128 in fractional form.

Further Practice: - Now that you've got the method, here are similar problems for practice: 1/8 divided by 34, 41 divided by what equals 90, What divided by 91 equals 11, 4/12 divided by 13/10, 6 divided by 14/20.