What is the difference between `4/5` of 1150 and `5/6 `of 1248?

Options

A. 140
B. 115
C. 125
D. 120

Answer

To solve the problem, we need to find the difference between \( \frac{4}{5} \) of 1150 and \( \frac{5}{6} \) of 1248. Let's break it down step by step.

### Step 1: Calculate \( \frac{4}{5} \) of 1150
To find \( \frac{4}{5} \) of 1150, we can multiply 1150 by \( \frac{4}{5} \).

\[ \frac{4}{5} \times 1150 = \frac{4 \times 1150}{5} \]

Calculating \( 4 \times 1150 \):

\[ 4 \times 1150 = 4600 \]

Now, divide by 5:

\[ \frac{4600}{5} = 920 \]

So, \( \frac{4}{5} \) of 1150 is 920.

### Step 2: Calculate \( \frac{5}{6} \) of 1248
Next, we find \( \frac{5}{6} \) of 1248 by multiplying 1248 by \( \frac{5}{6} \).

\[ \frac{5}{6} \times 1248 = \frac{5 \times 1248}{6} \]

Calculating \( 5 \times 1248 \):

\[ 5 \times 1248 = 6240 \]

Now, divide by 6:

\[ \frac{6240}{6} = 1040 \]

So, \( \frac{5}{6} \) of 1248 is 1040.

### Step 3: Find the difference between the two results
Now we need to find the difference between \( 1040 \) and \( 920 \).

\[ 1040 - 920 = 120 \]

### Final Answer
The difference between \( \frac{4}{5} \) of 1150 and \( \frac{5}{6} \) of 1248 is **120**.

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