What is 1/8 Divided by 2?
To divide 1/8 by 2, you can follow these steps:
- Write 1/8 as a decimal, which is 0.125.
- Divide 0.125 by 2.
So, 0.125 divided by 2 equals 0.0625.
Therefore, 1/8 divided by 2 is equal to 0.0625 in decimal form.
Dividing a Fraction by a Whole Number
Dividing fractions is an important foundational math skill. When dividing a fraction by a whole number, we can visualize it as figuring out how many times the whole number goes into the fraction.
Let’s break down dividing the fraction 1/8 by the whole number 2 step-by-step:
- Visualize 1/8 as a pie cut into 8 equal slices, and we have 1 of those slices.
- If we split the pie into 2 equal groups, how many slices would be in each group?
- Each of the 2 groups would contain 1/8 of the total slices.
- Since there are 8 total slices, each group must contain 8/2 = 4 slices.
- We had 1 of the 8 total slices.
- That 1 slice is now in a group with 4 total slices.
- So our 1 slice is 1 out of 4 slices in its group.
- Therefore, 1/8 divided by 2 equals 1/4.
The whole number divided the original fraction into an equal fraction of its size.
Checking the Work
We can verify that 1/8 ÷ 2 = 1/4 by multiplying:
1/4 x 2 = 1/8
Getting back the original fraction confirms that 1/4 is the correct result.
Understanding division of fractions conceptually in terms of splitting into equal groups provides the logic we need to divide them procedurally. This builds a solid foundation for more complex fraction arithmetic.
In summary, when dividing a fraction by a whole number, we restate the fraction with a denominator divided by the whole number to determine the result.
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