Question

1. solve: $\frac{11}{x}=\frac{10}{7}$
2. convert 0.044 to a simplified fraction and a percent.

Explanation:

Step1 (Problem 15): Cross-multiply to isolate $x$

$11 \times 7 = 10 \times x$
$77 = 10x$

Step2 (Problem 15): Solve for $x$

$x = \frac{77}{10}$

Step1 (Problem 17): Convert decimal to fraction

$0.044 = \frac{44}{1000}$

Step2 (Problem 17): Simplify the fraction

$\frac{44 \div 4}{1000 \div 4} = \frac{11}{250}$

Step3 (Problem 17): Convert decimal to percent

$0.044 \times 100 = 4.4\%$

Answer:

1. For $\frac{11}{x}=\frac{10}{7}$: $\boldsymbol{\frac{77}{10}}$ or $\boldsymbol{7.7}$
2. For 0.044: Simplified fraction is $\boldsymbol{\frac{11}{250}}$, percent is $\boldsymbol{4.4\%}$