Convert Decimal 0.7 to Fraction: Step-by-Step Solution

Question

Convert 0.7 into a fraction.

Video Solution

Solution Steps

00:00 Convert to a simple fraction
00:03 Move the decimal point right until the number is whole
00:06 The denominator must be some multiple of 10 and 10
00:09 We moved the decimal point once to the right, so we'll add one 0 to the denominator
00:12 Write the digits in the numerator
00:17 And this is the solution to the question

Step-by-Step Solution

To solve this problem of converting the decimal 0.7 into a fraction, follow these clear steps:

  • Step 1: Understand the place value of the decimal number 0.7. The digit 7 is in the tenths place, which means it can be expressed as a fraction over 10.
  • Step 2: Write down the fraction as 710\frac{7}{10}. Here, 7 is the numerator, representing the part, and 10 is the denominator, representing the whole.
  • Step 3: Check if the fraction 710\frac{7}{10} can be simplified. Since 7 and 10 have no common divisors other than 1, the fraction is already in its simplest form.

Therefore, the decimal 0.7 is equivalent to the fraction 710\frac{7}{10}.

Comparing this result with the given choices, the correct answer is choice 2: 710 \frac{7}{10} .

Thus, the solution to the problem is 710 \frac{7}{10} .

Answer

710 \frac{7}{10}