convert 6/8 to a decimal and explain
The correct answer and explanation is:
Answer:
6/8 as a decimal is 0.75.
Explanation:
To convert a fraction like 6/8 to a decimal, you divide the numerator (top number) by the denominator (bottom number).
Step-by-step process:
- Understand the fraction:
The fraction 6/8 means 6 parts out of 8 equal parts of a whole. - Divide numerator by denominator:
Perform the division 6 ÷ 8. - Long division:
- 8 cannot go into 6, so you add a decimal point and zeros to continue dividing.
- Think of 6.000 divided by 8.
- 8 goes into 60 seven times (8 × 7 = 56), with a remainder of 4.
- Bring down another zero, making 40.
- 8 goes into 40 five times (8 × 5 = 40), with no remainder.
- Result:
The quotient is 0.75.
Why this works:
- Dividing 6 by 8 converts the fraction into a decimal form, which is an alternative way to represent the same value.
- Fractions and decimals both represent parts of a whole but use different notations.
- The decimal 0.75 means 75 hundredths, which matches 6/8 when simplified.
Additional notes:
- You can simplify the fraction first:
6/8 simplifies to 3/4 (by dividing numerator and denominator by 2). - 3/4 as a decimal is also 0.75.
- This confirms the decimal conversion is correct.
Summary:
- To convert a fraction to a decimal, divide numerator by denominator.
- 6 ÷ 8 = 0.75.
- Therefore, 6/8 = 0.75 in decimal form.
- This method works for all fractions and helps in comparing, adding, or subtracting numbers in decimal form.