Suppose we have the repeat decimal 0.123232323.... or 0.123 with a line over the repeated part (check the diagram)
- The first thing we need to do is identify the part of the decimal that repeats, 23 in our case.
- Second, we are going to assign a variable to our original decimal:
.
- Third, we are going to multiply both sides by a power of ten whose denominator will be the number of repeating digits. We know that we have 2 repeating digits (23), so we are going to multiply both sides by
, and
is just 100; therefore we get:
- fourth, subtract our original equation from the second step from the one from above:
Now we can cancel the repeated decimals to get:
- Last but not least multiply both numerator and denominator by a power of ten equals to the decimal digits in the numerator:
We now know how to convert a repeating decimal to a fraction.
Answer:
6720
Step-by-step explanation:
8000*.07*12=6720
Answer:
Ok would help you but ion even know what to do
Answer: 13
Step-by-step explanation:
You draw 13 different coloured dots and change their position