use long division convert to 2 7/16 to a decimal

Answer 1

To convert 2 7/16 to a decimal, we need to divide 7 by 16.

First, set up the long division:

0.4375
___________
16 | 7.0000

The decimal point is placed directly above the division bar.

Now, divide as you would with whole numbers:

- Divide 7 by 16: 16 goes into 7 zero times (0).
- Bring down the zero after the decimal point.
- Multiply the current result (0) by 16 and put it under the 7. Subtract: 7 - 0 = 7.
- Bring down another zero after the decimal point.
- Multiply the current result (0) by 16 and put it under the 70. Subtract: 70 - 0 = 70.
- Bring down another zero after the decimal point.
- Multiply the current result (0) by 16 and put it under the 700. Subtract: 700 - 0 = 700.
- Bring down another zero after the decimal point.
- Multiply the current result (0) by 16 and put it under the 7000. Subtract: 7000 - 0 = 7000.

Since no remainder is left and no pattern will repeat, the decimal form of 2 7/16 is 2.4375.