`7/8` of 90 % of 160=?

Options

A. 112
B. 146
C. 126
D. 116

Answer

To solve the problem \( \frac{7}{8} \) of 90% of 160, we can break it down into steps:

### Step 1: Convert 90% to a fraction
90% can be expressed as a fraction:
\[ 90\% = \frac{90}{100} = \frac{9}{10} \]

### Step 2: Calculate 90% of 160
Now, we calculate 90% of 160:
\[ 90\% \text{ of } 160 = \frac{9}{10} \times 160 \]
To perform the multiplication:
\[ \frac{9 \times 160}{10} = \frac{1440}{10} = 144 \]

### Step 3: Calculate \( \frac{7}{8} \) of 144
Next, we find \( \frac{7}{8} \) of 144:
\[ \frac{7}{8} \text{ of } 144 = \frac{7}{8} \times 144 \]
To perform this multiplication:
\[ \frac{7 \times 144}{8} \]
Now, simplify \( \frac{144}{8} \):
\[ \frac{144}{8} = 18 \]
So, we have:
\[ 7 \times 18 = 126 \]

### Final Answer
Thus, \( \frac{7}{8} \) of 90% of 160 is:
\[ \boxed{126} \]