Q:

What is 10 Divided by 9/7?

Accepted Solution

A:
Division Tutorial

Division of Whole Number by a Fraction

Case Study: What is 10 Divided by 9/7?

To understand this, we need to dissect each component of the problem.

Our whole number, or dividend is 10, and the fraction (the divisor) is 9/7 which can further be understood by its numerator (9) and denominator (7).

Steps for Dividing 10 by 9/7

Let's find the solution in both fractional and decimal formats.

We will first arrange the problem:

\( \frac{10}{\frac{9}{7}} \)

Step 1: Multiply the whole number 10 by the denominator of the fraction:

\(10 \times 7 = 70\)

Step 2: Convert the numerator of the fraction to the denominator of your result:

\( \frac{ 10 \times 7 }{9} = \frac{70}{9} \)

Now, convert this fraction to decimal form by dividing the numerator by the denominator. Round off to the closest three decimals for simplicity:

\(\frac{70}{9} = 7.78\)

Hence, in decimal form, 10 divided by 9/7 = 7.78, and in simplest fractional form, it is 70/9.

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