Use long division to convert 2 7/16 to a decimal.(1 point)
Responses
2.4375
2.4375
0.4375
0.4375
2.716
2.716
2.2857
The correct answer is 2.4375.
To convert 2 7/16 to a decimal using long division, follow these steps:
1. First, convert the whole number to a fraction by multiplying it by the denominator of the fraction:
2 * 16 = 32
2. Add the result to the numerator of the fraction:
32 + 7 = 39
3. Divide the result by the denominator:
39 ÷ 16 = 2 remainder 7
4. Place the whole number part (2) as the first part before the decimal point.
The first part of the decimal is 2.
5. Take the remainder (7) and place it as the numerator of the fraction part.
The fraction part of the decimal is 7/16.
6. Divide the numerator (7) by the denominator (16) to get the decimal fraction.
7 ÷ 16 = 0.4375
7. Combine the whole number and fraction parts to get the final decimal:
2 + 0.4375 = 2.4375
Therefore, 2 7/16 is equal to 2.4375 as a decimal.
To convert 2 7/16 to a decimal using long division, follow these steps:
1. Write the whole number part, 2, as the first digit before the decimal point.
2. Write the fractional part, 7/16, as the dividend inside the division symbol.
3. To convert the fraction into a decimal, multiply the dividend by 10 and add a placeholder 0 at the end.
7/16 * 10 = 70/16
4. Divide the numerator, 70, by the denominator, 16, using long division.
5. Write the quotient, which is the result of the division, as the decimal part after the decimal point.
Here's a step-by-step breakdown:
2. | 7/16
__________
0 | 2 (2 divided by 7 equals 0 with a remainder of 2)
Bring down the 0 from the dividend:
0 | 27/16
__________
0 | 2
Multiply the new dividend, 27, by 10, and add a placeholder 0:
0 | 27/16
__________
0 | 2
0 (multiply 27/16 by 10)
Divide 16 into 270:
0 | 27/16
__________
0 | 20
16 (16 divides into 270 16 times)
__________
40
Divide 16 into 40:
0 | 27/16
__________
0 | 20
16
__________
240
240 (16 divides into 40 2 times)
__________
0
The final result is 2.4375.
Therefore, the correct answer is 2.4375.