Given that 6/11=0.54 write the recurring 0.554 as a fraction
5/33=0.15 Recurring 0.215 to fraction
1/6=0.16 recurring 0.4016 to fraction
.4016 = .40 + (1/6)/100 = 2/5 + 1/600 = 241/600
do the others in like wise.
The answer makes no sense...
To write recurring decimals as fractions, you need to follow the steps outlined below:
Step 1: Assign a variable to the recurring part.
Let x represent the recurring decimal.
Step 2: Determine a power of 10 that eliminates the recurring part.
In this case, there is only one digit that repeats, so multiply the number by 10 to shift the recurring digit to the left of the decimal point:
10x = 5.54 (for the first example)
100x = 21.5 (for the second example)
1000x = 401.6 (for the third example)
Step 3: Subtract the original number from the number in step 2 to eliminate the recurring part.
Subtracting the original number from the equation in step 2, we get:
10x - x = 5.54 - 0.554 (for the first example)
100x - x = 21.5 - 0.215 (for the second example)
1000x - x = 401.6 - 0.4016 (for the third example)
Step 4: Solve for x.
Solving the equations, we get:
9x = 5.54 (for the first example)
99x = 21.5 (for the second example)
999x = 401.6 (for the third example)
Step 5: Divide both sides of the equation by the coefficient of x.
Dividing both sides of the equation by the coefficient, we get:
x = 5.54/9 (for the first example)
x = 21.5/99 (for the second example)
x = 401.6/999 (for the third example)
Step 6: Simplify the fraction, if possible.
Simplifying the fractions, we get:
x = 61.5556/99 (for the first example)
x = 43/693 (for the second example)
x = 1604/3999 (for the third example)
Therefore, the fractions for the recurring decimals are:
0.554 = 61.5556/99
0.215 = 43/693
0.4016 = 1604/3999