How do you turn 7/19 into a decimals
The Correct Answer and Explanation is:
To convert the fraction 719\frac{7}{19}197 into a decimal, you simply divide 7 by 19. Here’s the step-by-step process:
- Set up the division:
You need to divide 7 (the numerator) by 19 (the denominator). This can be done using long division or a calculator. When using long division, you’ll see that 7 goes into 19 zero times initially, so you begin with a decimal point. - Perform the division:
Start by dividing 7 by 19:- 19 into 70 (7.0) goes 3 times, since 19 * 3 = 57. Subtract 57 from 70, which leaves a remainder of 13.
- Bring down a 0 to make it 130. Divide 19 into 130, which goes 6 times, since 19 * 6 = 114. Subtract 114 from 130, leaving a remainder of 16.
- Bring down another 0 to make it 160. Divide 19 into 160, which goes 8 times, since 19 * 8 = 152. Subtract 152 from 160, leaving a remainder of 8.
- Bring down another 0 to make it 80. Divide 19 into 80, which goes 4 times, since 19 * 4 = 76. Subtract 76 from 80, leaving a remainder of 4.
- Bring down another 0 to make it 40. Divide 19 into 40, which goes 2 times, since 19 * 2 = 38. Subtract 38 from 40, leaving a remainder of 2.
- Bring down another 0 to make it 20. Divide 19 into 20, which goes 1 time, since 19 * 1 = 19. Subtract 19 from 20, leaving a remainder of 1.
- Bring down another 0 to make it 10. Divide 19 into 10, which goes 0 times. This process would continue indefinitely.
- Recognize the repeating decimal:
After performing the division, you get the decimal 0.368421… with the sequence 368421 repeating. So, 719\frac{7}{19}197 as a decimal is 0.368421‾0.\overline{368421}0.368421, where the overline indicates the repeating part. - Approximate the decimal:
For practical purposes, the decimal can be approximated to a certain number of decimal places. For example, to two decimal places, 719≈0.37\frac{7}{19} \approx 0.37197≈0.37.
Conclusion:
The fraction 719\frac{7}{19}197 as a decimal is 0.368421‾0.\overline{368421}0.368421, meaning the digits “368421” repeat infinitely. You can round it to any desired number of decimal places based on the level of precision needed.
