Convert into decimal form:
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Convert into decimal form:
Let's divide both the numerator and denominator by a number that will help us get a denominator of 5:
Now let's multiply both the numerator and denominator by a number that will help us get a denominator of 10:
Let's write the simple fraction as a decimal fraction:
Since we are dividing by 10, the decimal point will move one place to the left, so we get:
Let's add the 0 before the decimal point as follows:
0.4
How much of the whole does the shaded area (blue) represent?
Simplifying makes the conversion much easier! Working with instead of gives you smaller, cleaner numbers to work with.
Find the Greatest Common Divisor (GCD) of the numerator and denominator. For 6 and 15, the GCD is 3, so divide both by 3:
We want a power of 10 in the denominator (10, 100, 1000...) to easily convert to decimal. Since 5 × 2 = 10, we multiply both parts:
When dividing by 10, move the decimal point one place left. So 4.0 ÷ 10 = 0.40 = 0.4. Each zero in the denominator moves the point one more place left.
Absolutely! You can divide 6 ÷ 15 directly using long division. Both methods work, but the simplification method often gives cleaner calculations.
Trailing zeros after the decimal don't change the value! - they're all the same number. We usually drop trailing zeros for the simplest form.
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