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What is the value of the expression?

[tex]\frac{5.2 - 2.25}{0.05}[/tex]

A. -346
B. 0.59
C. 5
D. 59


Sagot :

To determine the value of the expression

[tex]\[ \frac{5.2 - 2.25}{0.05} \][/tex]

we need to follow these steps:

1. Calculate the numerator:
[tex]\[ 5.2 - 2.25 = 2.95 \][/tex]

2. Identify the denominator:
[tex]\[ 0.05 \][/tex]

3. Perform the division:
[tex]\[ \frac{2.95}{0.05} \][/tex]

To divide 2.95 by 0.05:
- We can think about how many times 0.05 fits into 2.95.
- One way to simplify the division is by converting the denominator into a whole number:
[tex]\[ \frac{2.95}{0.05} = \frac{295}{5} \text{ (since multiplying both the numerator and denominator by 100 to eliminate the decimal)} \][/tex]
- Now, divide 295 by 5:
[tex]\[ 295 \div 5 = 59 \][/tex]

Therefore, the value of the expression is:

[tex]\[ 59 \][/tex]

So, the correct answer is:
1. 59