Math Problem Statement

show how to turn 6/25 into a decimal

Solution

To convert 625\frac{6}{25} into a decimal, follow these steps:

Step 1: Understand the Fraction

The fraction 625\frac{6}{25} represents 6 divided by 25.

Step 2: Perform the Division

Now, divide 6 by 25 to convert the fraction to a decimal.

625=6÷25\frac{6}{25} = 6 \div 25

  1. Start by placing a decimal point after 6, turning it into 6.000 (adding zeros to help with division).
  2. Divide 25 into 6.000.

25 goes into 60 two times (since 25×2=50).\text{25 goes into 60 two times (since } 25 \times 2 = 50\text{).}

  1. Subtract 50 from 60:

6050=1060 - 50 = 10

  1. Bring down another 0, making it 100.

25 goes into 100 four times (since 25×4=100).\text{25 goes into 100 four times (since } 25 \times 4 = 100\text{).}

  1. Subtract 100 from 100:

100100=0100 - 100 = 0

So, 6÷25=0.246 \div 25 = 0.24.

Conclusion

Thus, 625=0.24\frac{6}{25} = 0.24.

Would you like any further details or have any questions?

Here are 5 related questions for practice:

  1. Convert 1250\frac{12}{50} into a decimal.
  2. Convert 925\frac{9}{25} into a decimal.
  3. What is 1875\frac{18}{75} as a decimal?
  4. Convert 720\frac{7}{20} to a decimal.
  5. What is 1140\frac{11}{40} in decimal form?

Tip: When dividing by a number like 25, it can help to think about how many times it fits into each part of the number you’re dividing.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Decimal Conversion

Formulas

-

Theorems

-

Suitable Grade Level

Grades 4-6