Question

31 c - a + (b/d) 0.8 - 7/8 + (7/16 + 1/9)

Explanation:

Step1: Convert decimals to fractions

$0.8=\frac{4}{5}$, so the expression becomes $\frac{4}{5}-\frac{7}{8}+\frac{7}{16}\div\frac{1}{9}$

Step2: Perform the division

$\frac{7}{16}\div\frac{1}{9}=\frac{7}{16}\times9 = \frac{63}{16}$

Step3: Find a common denominator for addition and subtraction

The common denominator of 5, 8, and 16 is 80. Convert each fraction:
$\frac{4}{5}=\frac{64}{80}$, $\frac{7}{8}=\frac{70}{80}$, $\frac{63}{16}=\frac{315}{80}$

Step4: Perform the operations

$\frac{64}{80}-\frac{70}{80}+\frac{315}{80}=\frac{64 - 70+315}{80}=\frac{309}{80}=3.8625$

Answer:

$\frac{309}{80}$ (or $3.8625$)