Which of the following is developed to be equivalent to 1/8,5
To determine which option is equivalent to 1/8.5, we need to find the reciprocal of 8.5 which is 1/8.5. So, the answer is none of the options provided.
To find the decimal equivalent of the fraction 1/8,5, you can divide 1 by 8.5 using long division. Here are the steps:
1. Set up the division problem: Write 1 as the numerator and 8.5 as the denominator.
0.1
__________
8.5 | 1
2. Divide the first digit of the numerator (1) by the denominator (8.5). The result is 0.1. Write this as the first digit of the quotient above the division line.
0.1
__________
8.5 | 1
3. Multiply the quotient digit (0.1) by the denominator (8.5) and subtract the result from the numerator (1). Write the result below the subtraction line.
0.1
__________
8.5 | 1
- 0.85
4. Bring down the next digit from the numerator (5).
0.1
__________
8.5 | 1
- 0.85
-----
14
5. Divide the new numerator (14) by the denominator (8.5). The result is approximately 1.647. Write this as the next digit of the quotient above the division line.
0.11
__________
8.5 | 1
- 0.85
-----
14
- 12.75
6. Multiply the new quotient digit (1.647) by the denominator (8.5) and subtract the result from the numerator (14). Write the result below the subtraction line.
0.11
__________
8.5 | 1
- 0.85
-----
14
- 12.75
-----
125
7. Repeat the process by bringing down the next digit (0) and continue dividing until you reach the desired level of accuracy.
In this case, the decimal equivalent of 1/8.5 is approximately 0.117647.
To determine which of the given options is equivalent to 1/8.5, we need to convert 1/8.5 into a common denominator.
Here's how to find the equivalent fraction:
Step 1: Convert the decimal 1/8.5 into a fraction:
1/8.5 = 1 ÷ 8.5
Step 2: Rationalize the denominator by multiplying both the numerator and denominator by the same number to eliminate the decimal:
1 ÷ 8.5 = (1 × 10) ÷ (8.5 × 10)
= 10 ÷ 85
So, the fraction equivalent to 1/8.5 is 10/85.
Now, let's check each option to see which one is equivalent to 10/85.