Answer:
The quotient is 6.
Step-by-step explanation:
Given two fractions are:
[tex]29\dfrac{1}{5}[/tex]
and
[tex]4\dfrac{6}7[/tex]
To find:
The quotient of
[tex]29\dfrac{1}{5}\div 4\dfrac{6}7[/tex]
Solution:
Formula to convert mixed fraction to a fraction:
[tex]p\dfrac{q}{r} = \dfrac{p\times r+q}{r}[/tex]
Using the above formula to rewrite the given mixed fractions:
[tex]29\dfrac{1}{5}[/tex] can be written as:
[tex]\dfrac{29\times 5+1}5\\\Rightarrow \dfrac{146}{5}[/tex]
[tex]4\dfrac{6}7[/tex] can be written as:
[tex]\dfrac{4\times 7+6}{7}\\\Rightarrow \dfrac{34}{7}[/tex]
Now dividing:
[tex]\dfrac{\frac{146}{5}}{\frac{34}{7}}\\\Rightarrow \dfrac{146\times 7}{5\times 34}\\\Rightarrow \approx 6[/tex]
Therefore the quotient is 6.
Answer:
Round the numbers to estimate the quotient.
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Which numbers should be used?
✔ 29
÷
✔ 5
The estimated quotient is
✔ 5 4/5
Step-by-step explanation:
