The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the cake decorated, $\displaystyle \frac{1}{13}$, divided by hours, $\displaystyle \frac{1}{4}$:

$\displaystyle \frac{\ \frac{1}{13}\ \textup{of a cake}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\displaystyle \frac{1}{13}\times\frac{4}{1}=\frac{4}{13}$

The baker can decorate $\displaystyle \frac{4}{13}$ of the wedding cake per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have portion of the house painted, $\displaystyle \frac{1}{8}$, divided by hours, $\displaystyle \frac{1}{5}$:

$\displaystyle \frac{\ \frac{1}{8}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\displaystyle \frac{1}{8}\times\frac{5}{1}=\frac{5}{8}$

The painter can paint $\displaystyle \frac{5}{8}$ of a house per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have portion of the house painted, $\displaystyle \frac{1}{7}$, divided by hours, $\displaystyle \frac{1}{5}$:

$\displaystyle \frac{\ \frac{1}{7}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\displaystyle \frac{1}{7}\times\frac{5}{1}=\frac{5}{7}$

The painter can paint $\displaystyle \frac{5}{7}$ of a house per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have portion of the house painted, $\displaystyle \frac{1}{6}$, divided by hours, $\displaystyle \frac{1}{5}$:

$\displaystyle \frac{\ \frac{1}{6}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\displaystyle \frac{1}{6}\times\frac{5}{1}=\frac{5}{6}$

The painter can paint $\displaystyle \frac{5}{6}$ of a house per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have portion of the house painted, $\displaystyle \frac{1}{5}$, divided by hours, $\displaystyle \frac{1}{5}$:

$\displaystyle \frac{\ \frac{1}{5}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\displaystyle \frac{1}{5}\times\frac{5}{1}=\frac{5}{5}=1$

The painter can paint $\displaystyle 1$ of a house per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have portion of the house painted, $\displaystyle \frac{1}{4}$, divided by hours, $\displaystyle \frac{1}{5}$:

$\displaystyle \frac{\ \frac{1}{4}\ \textup{of a house}}{\ \frac{1}{5}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{5}\rightarrow \frac{5}{1}$

Therefore:

$\displaystyle \frac{1}{4}\times\frac{5}{4}=1\frac{1}{5}$

The painter can paint $\displaystyle 1\frac{1}{5}$ of a house per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, $\displaystyle \frac{1}{4}$, divided by hours, $\displaystyle \frac{1}{8}$:

$\displaystyle \frac{\ \frac{1}{4}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\displaystyle \frac{1}{4}\times\frac{8}{1}=\frac{8}{4}=2$

The landscaper can mow $\displaystyle 2$ yards per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, $\displaystyle \frac{1}{5}$, divided by hours, $\displaystyle \frac{1}{8}$:

$\displaystyle \frac{\ \frac{1}{5}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\displaystyle \frac{1}{5}\times\frac{8}{1}=\frac{8}{5}=1\frac{3}{5}$

The landscaper can mow $\displaystyle 1\frac{3}{5}$ yards per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, $\displaystyle \frac{1}{6}$, divided by hours, $\displaystyle \frac{1}{8}$:

$\displaystyle \frac{\ \frac{1}{6}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\displaystyle \frac{1}{6}\times\frac{8}{6}=\frac{8}{6}=1\frac{2}{6}=1\frac{1}{3}$

The landscaper can mow $\displaystyle 1\frac{1}{3}$ yards per hour. 

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, $\displaystyle \frac{1}{7}$, divided by hours, $\displaystyle \frac{1}{8}$:

$\displaystyle \frac{\ \frac{1}{7}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

$\displaystyle \frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\displaystyle \frac{1}{7}\times\frac{8}{1}=\frac{8}{7}=1\frac{1}{7}$

The landscaper can mow $\displaystyle 1\frac{1}{7}$ yards per hour.