Math Problem Statement

what is the value of 4/10+ 3/100 =

Solution

To calculate 410+3100\frac{4}{10} + \frac{3}{100}, follow these steps:

Step 1: Make the denominators the same

  • The least common denominator (LCD) of 10 and 100 is 100.
  • Rewrite 410\frac{4}{10} with a denominator of 100: 410=40100\frac{4}{10} = \frac{40}{100}

Step 2: Add the fractions

Now that both fractions have the same denominator, add them directly: 40100+3100=43100\frac{40}{100} + \frac{3}{100} = \frac{43}{100}

Step 3: Simplify (if needed)

The fraction 43100\frac{43}{100} is already in its simplest form.

Final Answer:

410+3100=43100 or 0.43\frac{4}{10} + \frac{3}{100} = \frac{43}{100} \text{ or } 0.43

Do you want additional clarification or examples? Here are 5 related questions:

  1. How do you add fractions with different denominators in general?
  2. What are some examples of finding the least common denominator (LCD)?
  3. How would you subtract 4103100\frac{4}{10} - \frac{3}{100}?
  4. How do you convert a fraction into a decimal?
  5. Can fractions with large denominators, like 11000+52000\frac{1}{1000} + \frac{5}{2000}, be simplified in the same way?

Tip: Always make sure to find the least common denominator to simplify fraction operations efficiently.

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Math Problem Analysis

Mathematical Concepts

Fractions
Least Common Denominator
Addition of Fractions

Formulas

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \)
Least Common Denominator (LCD)

Theorems

Adding Fractions with Different Denominators

Suitable Grade Level

Grades 4-6