Find the value of question mark(?) in the following questions ?
`(97+74-21)/((130+5)-15)`=?

Options

A. `4/3`
B. `3/2`
C. `6/5`
D. `5/4`

Answer

To solve the expression \((97 + 74 - 21) / ((130 + 5) - 15)\), we will break it down step by step.

### Step 1: Calculate the numerator
First, we need to calculate the expression in the numerator:
\[ 97 + 74 - 21 \]

1. Add \(97\) and \(74\):
\[ 97 + 74 = 171 \]

2. Now subtract \(21\) from \(171\):
\[ 171 - 21 = 150 \]

So, the numerator is \(150\).

### Step 2: Calculate the denominator
Next, we calculate the expression in the denominator:
\[ (130 + 5) - 15 \]

1. Add \(130\) and \(5\):
\[ 130 + 5 = 135 \]

2. Now subtract \(15\) from \(135\):
\[ 135 - 15 = 120 \]

So, the denominator is \(120\).

### Step 3: Divide the numerator by the denominator
Now we will divide the numerator by the denominator:
\[ \frac{150}{120} \]

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is \(30\):
1. Divide \(150\) by \(30\):
\[ 150 \div 30 = 5 \]

2. Divide \(120\) by \(30\):
\[ 120 \div 30 = 4 \]

Thus, we have:
\[ \frac{150}{120} = \frac{5}{4} \]

### Final Answer
The value of the question mark (?) is:
\[ \frac{5}{4} \]

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