How Do u Divide 72 Divided by 3/4?

How Do u Divide 72 Divided by 3/4?

To divide 72 by 3/4, you can use the following steps:

1. Convert 3/4 to a decimal by dividing the numerator (3) by the denominator (4): 3 ÷ 4 = 0.75.
2. Divide 72 by 0.75.

So, 72 divided by 3/4 is equal to 96.

Therefore, 72 ÷ 3/4 = 96.

Dividing by a Fraction

Dividing by fractions is an essential math skill that expands our ability to solve more complex arithmetic problems. Dividing a whole number by a fraction requires inverting the divisor and multiplying.

Let’s walk through dividing 72 by the fraction 3/4:

1. Set up the division: 72 / 3/4
2. To divide by a fraction, invert the fraction: 3/4 becomes 4/3
3. Rewrite the problem as multiplication: 72 / 3/4 = 72 * 4/3
4. Multiply numerators:
   72 * 4 = 288
5. Multiply denominators: 3 * 4 = 12
6. Simplify the resulting fraction: 288/12 = 24

Therefore, 72 / 3/4 = 24

Why Does Inverting Work?

Dividing by a fraction is the same as multiplying by its reciprocal.

Inverting the divisor gives its reciprocal. So inverting and multiplying simplifies division.

Checking the Work

We can verify the result by multiplying 24 by 3/4 to see if we get 72:

24 * 3/4 = 72

Getting back to 72 confirms that 24 is the correct solution.

Understanding how to divide whole numbers by fractions opens up many possibilities for complex math operations. Mastering the invert and multiply steps helps develop fluency in fraction division.

In summary, to divide by a fraction, invert the divisor fraction to its reciprocal, then multiply the dividend by the inverted fraction.