Answer
[tex]\frac{29}{40}=0.725[/tex]Solution
We are asked to find the best estimate for the fraction:
[tex]\frac{29}{40}[/tex]- The easiest way to evaluate this fraction is to separate the denominator into 4 and 10 and then divide 29 by 4. The result of the division can then be divided by 10.
- This is done below:
[tex]\begin{gathered} \frac{29}{40}=\frac{29}{4\times10}=\frac{29}{4}\times\frac{1}{10} \\ \\ =7\frac{1}{4}\times\frac{1}{10}=7\frac{1}{4}\times0.1 \\ \\ \text{But }\frac{1}{4}=0.25 \\ \\ 7\frac{1}{4}=7+0.25=7.25 \\ \\ =7.25\times0.1=0.725 \\ \\ \therefore\frac{29}{40}=0.725 \end{gathered}[/tex]Final Answer
[tex]\frac{29}{40}=0.725[/tex]