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To convert the decimal into a mixed number, we'll follow these steps:
Let's work through each step:
Step 1: Recognize that means because there is one digit after the decimal point, placing it into tenths.
Step 2: Simplify by dividing both the numerator and denominator by their GCD, which is 2. This gives us .
Step 3: Combine the whole number with the fraction to form the mixed number .
Therefore, the conversion of to a mixed number is .
Convert into fraction form:
\( 0.38= \)
While does equal 0.4, you have the wrong whole number! The decimal 2.4 has a whole number part of 2, not 1. Plus, should be simplified to .
Always simplify! Find the GCD (Greatest Common Divisor) of the numerator and denominator. For , the GCD is 2, so divide both parts by 2 to get .
The same process works! Two decimal places = hundredths, three = thousandths, etc. For example: after simplifying.
Convert it back to a decimal! Divide the fraction part and add to the whole number. For : 2 ÷ 5 = 0.4, so 2 + 0.4 = 2.4 ✓
Mixed numbers show the exact value without rounding! They're especially useful in cooking, construction, and when working with fractions in algebra. Both forms are valuable!
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