Question1.125 divided by 0.75 equals what?

Studdy Solution

STEP 1

Assumptions1. We are dividing a mixed number by a fraction. . We will convert the mixed number to an improper fraction before proceeding with the division.

STEP 2

First, we need to convert the mixed number to an improper fraction. The formula for converting a mixed number to an improper fraction is $\text{Improper Fraction} = \text{Whole Number} \times \text{Denominator} + \text{umerator}$

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to convert the mixed number to an improper fraction.
$\text{Improper Fraction} =1 \times8 +1$

STEP 4

Calculate the improper fraction.
$\text{Improper Fraction} =1 \times8 +1 = \frac{9}{8}$

STEP 5

Now that we have the improper fraction, we can proceed with the division. In division of fractions, we multiply the first fraction by the reciprocal of the second fraction.
$\frac{9}{8} \div \frac{3}{4} = \frac{9}{8} \times \frac{4}{3}$

STEP 6

Now, multiply the fractions.
$\frac{9}{8} \times \frac{4}{3} = \frac{36}{24}$

STEP 7

implify the fraction by dividing the numerator and the denominator by their greatest common divisor.
$\frac{36}{24} = \frac{3}{2}$ So, $1 \frac{1}{} \div \frac{3}{4} = \frac{3}{2}$ or $1 \frac{1}{2}$ when expressed as a mixed number.

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