Select the decimal that is equivalent to 29/30
The decimal equivalent to 29/30 is 0.9666666666666667.
To find the decimal equivalent of 29/30, divide 29 by 30 using long division. Here's the step-by-step process:
Step 1: Set up the division problem:
___
30 | 29
Step 2: Divide:
Since 30 does not go into 29, we need to add a decimal point and a zero to the right of 29, making it 290.
___
30 | 290
- 0
Step 3: Divide:
30 goes into 290 nine times (9 × 30 = 270). Subtract 270 from 290:
9
___
30 | 290
- 270
___
20
Step 4: Bring down the next digit (0) from the dividend:
9.
___
30 | 290
- 270
___
20
- 30
Step 5: Divide:
Since 30 does not go into 20, we need to add a zero to the right of 20, making it 200.
9.6
___
30 | 290
- 270
___
20
- 200
___
0
Step 6: The division is now complete. The decimal equivalent of 29/30 is 0.966 recurring (rounded to three decimal places).
Therefore, 29/30 = 0.966.
To find the decimal equivalent of a fraction, divide the numerator (top number) by the denominator (bottom number). In this case, to find the decimal equivalent of 29/30, divide 29 by 30.
29 ÷ 30 = 0.9666666666666667
So, the decimal equivalent of 29/30 is approximately 0.9667.