Use long division to convert 53/16 to a decimal.(1 point)
Responses
5.1875
5.1875
≈5.3
approximately equals 5.3
5.36
5.36
0.1875
5.1875
To convert the fraction 53/16 to a decimal using long division, follow these steps:
1. Divide the numerator (53) by the denominator (16). The quotient is the whole number part of the decimal.
- 53 ÷ 16 = 3 (whole number part)
2. Multiply the quotient (3) by the denominator (16) to get the product.
- 3 × 16 = 48
3. Subtract the product (48) from the numerator (53) to get the remainder.
- 53 - 48 = 5
4. Bring down the next digit from the quotient (3), next to the remainder (5), to form the new dividend of 55.
5. Divide the new dividend (55) by the denominator (16). The quotient is the decimal part of the number.
- 55 ÷ 16 ≈ 3.4375
6. Repeat steps 2 and 3 with the new dividend (55) and continue the long division process until you get the desired level of accuracy. In this case, let's go to four decimal places.
7. Multiply the quotient (3) by the denominator (16) to get the product.
- 3 × 16 = 48
8. Subtract the product (48) from the new dividend (55) to get the remainder.
- 55 - 48 = 7
9. Bring down the next digit from the quotient (3), next to the remainder (7), to form the new dividend of 77.
10. Divide the new dividend (77) by the denominator (16). The quotient is the decimal part of the number.
- 77 ÷ 16 ≈ 4.8125
11. Repeat steps 2 and 3 with the new dividend (77) and continue the long division process until you reach four decimal places.
12. Multiply the quotient (3.4375) by the denominator (16) to get the product.
- 3.4375 × 16 = 54.8
13. Subtract the product (54.8) from the new dividend (77) to get the remainder.
- 77 - 54.8 = 22.2
14. Bring down the next digit from the quotient (3.4375), next to the remainder (22.2), to form the new dividend of 222.
15. Divide the new dividend (222) by the denominator (16). The quotient is the decimal part of the number.
- 222 ÷ 16 ≈ 13.875
16. Repeat steps 2 and 3 with the new dividend (222) and continue the long division process until you reach four decimal places.
17. At this point, you can either continue the long division process or round the decimal to the desired number of decimal places. Let's round it to four decimal places.
Therefore, 53/16 can be rounded to 3.3125 as a decimal.