What is the value of 4 over 10 plus 3 over 100
The Correct Answer and Explanation is:
To calculate the value of 410+3100\frac{4}{10} + \frac{3}{100}104+1003, you first need to express both fractions with a common denominator. The denominators are 10 and 100, and the least common denominator (LCD) between 10 and 100 is 100.
Step 1: Convert 410\frac{4}{10}104 to have a denominator of 100.
To do this, multiply both the numerator and the denominator of 410\frac{4}{10}104 by 10.410=4×1010×10=40100\frac{4}{10} = \frac{4 \times 10}{10 \times 10} = \frac{40}{100}104=10×104×10=10040
Step 2: Add the two fractions.
Now that both fractions have a denominator of 100, we can add them directly:40100+3100=40+3100=43100\frac{40}{100} + \frac{3}{100} = \frac{40 + 3}{100} = \frac{43}{100}10040+1003=10040+3=10043
Step 3: Simplify the fraction (if possible).
In this case, 43100\frac{43}{100}10043 is already in its simplest form because 43 is a prime number, and it does not divide 100.
Final Answer:
So, 410+3100=43100\frac{4}{10} + \frac{3}{100} = \frac{43}{100}104+1003=10043 or 0.43.
Explanation:
The process of finding a common denominator allows us to add fractions effectively. Fractions can only be added when they have the same denominator. By converting 410\frac{4}{10}104 into 40100\frac{40}{100}10040, we made it easier to add the two fractions. The final result, 43100\frac{43}{100}10043, represents the sum as a fraction, which is equivalent to 0.43 in decimal form.
