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To convert the mixed number to a decimal, we'll focus on converting the fractional part first. We want to express it with a denominator of 100, because converting to tenths or hundredths makes it easier to switch to a decimal.
Step 1: Convert to have a denominator of 100.
To get a denominator of 100, we find a factor that, when multiplied by 20, gives 100:
So, we multiply both the numerator and the denominator of by 5:
Step 2: Convert to a decimal. Since is equivalent to 0.15:
Step 3: Combine with the whole number. The original number becomes:
Therefore, the decimal form of is .
Convert into fraction form:
\( 0.38= \)
Converting to denominator 100 makes it super easy to write as a decimal! Since 100 = 10², fractions with denominator 100 directly become hundredths in decimal form.
You can still convert! Try denominators like 10, 1000, or 10000. Or use long division: divide the numerator by the denominator to get the decimal directly.
Convert back to check! . Then simplify: , so you get ✓
Yes! That's actually the quickest method. 3 ÷ 20 = 0.15, then add the whole number: 2 + 0.15 = 2.15. Both methods work perfectly!
2.3 would mean , not ! The denominator matters. Since , not 0.3, the correct answer is 2.15.
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