Math Problem Statement

find the number that is exactly halfway between 1/10 and 3/5

Solution

To find the number halfway between 110\frac{1}{10} and 35\frac{3}{5}:

  1. First, convert each fraction to a decimal: 110=0.1and35=0.6\frac{1}{10} = 0.1 \quad \text{and} \quad \frac{3}{5} = 0.6

  2. To find the halfway point, calculate the average of these two numbers: 0.1+0.62=0.72=0.35\frac{0.1 + 0.6}{2} = \frac{0.7}{2} = 0.35

So, the number halfway between 110\frac{1}{10} and 35\frac{3}{5} is 0.350.35, which is also 720\frac{7}{20} in fraction form.

Do you want more details or have any questions?

Here are 5 related questions:

  1. How do you find the midpoint between two fractions?
  2. How can you convert decimals back to fractions?
  3. What are methods to add and divide fractions directly?
  4. How do you find halfway points on a number line?
  5. How can finding averages help in real-world applications?

Tip: To find the halfway point between two numbers, add them and divide by 2.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions
Averages

Formulas

Average of two numbers: (a + b) / 2

Theorems

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Suitable Grade Level

Grades 5-7