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Rewrite the mixed numbers as improper fractions. Then divide the fractions.
2 110
Let's find the quotient for the given division.
4 23 ÷ 2 29
We will start by rewriting the mixed numbers as improper fractions.
a bc=a* c+b/c
Multiply
Add terms
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 14/3 ÷ 20/9 = 14/3 * 9/20 Next, we multiply the numerators and the denominators.
Multiply fractions
a/b=.a /6./.b /6.
Write fraction as a mixed number
Now, let's check our answer. To do so, we will multiply the quotient, 2 110, by the divisor, 2 29.
a bc=a* c+b/c
Multiply
Add terms
Multiply fractions
a/b=.a /30./.b /30.
Write fraction as a mixed number
As we can see, the result is the dividend. So, we know our answer is correct.