Math Problem Statement

eight tenths plus 4 one hundreds equals what the denominator of the answer is 100

Solution

To add 810\frac{8}{10} and 4100\frac{4}{100}, we first need to express both fractions with the same denominator. Since the denominator you're asking for is 100, we need to convert 810\frac{8}{10} into a fraction with 100 as the denominator.

Step 1: Convert 810\frac{8}{10} to a fraction with 100 as the denominator:

810=8×1010×10=80100\frac{8}{10} = \frac{8 \times 10}{10 \times 10} = \frac{80}{100}

Step 2: Add the fractions:

Now, we can add 80100\frac{80}{100} and 4100\frac{4}{100}: 80100+4100=80+4100=84100\frac{80}{100} + \frac{4}{100} = \frac{80 + 4}{100} = \frac{84}{100}

So, 810+4100=84100\frac{8}{10} + \frac{4}{100} = \frac{84}{100}.

Final Answer:

The sum is 84100\frac{84}{100}.

If you need any further clarification, feel free to ask!


Here are some related questions to explore:

  1. How do you convert a fraction to have a common denominator?
  2. What is the simplest form of 84100\frac{84}{100}?
  3. How do you add fractions with different denominators?
  4. What happens when the numerators and denominators are both divisible by the same number?
  5. Can you subtract fractions with the same denominator?

Tip: Always convert fractions to a common denominator before adding or subtracting them!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Common Denominator
Addition of Fractions

Formulas

To add fractions with different denominators, find a common denominator and add the numerators.
Conversion of fractions to have a common denominator

Theorems

The fraction addition theorem
The concept of finding a least common denominator

Suitable Grade Level

Grades 4-6