9 4 As A Fraction

Isabelle Mccluskey

less than a minute read

·

09-12-2024

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Converting the decimal 9.4 into a fraction involves understanding place value and the relationship between decimals and fractions. Here's how to do it:

Understanding Decimals and Fractions

Decimals represent parts of a whole number, using a base-ten system. The number 9.4 means 9 whole units and 4 tenths of a unit. In fractional terms, this can be expressed as a mixed number (a whole number and a fraction).

Converting 9.4 to a Fraction

1. Identify the whole number: The whole number part of 9.4 is 9.

2. Identify the decimal part: The decimal part is 0.4.

3. Convert the decimal part to a fraction: 0.4 is equivalent to 4/10 (four tenths).

4. Simplify the fraction (if possible): Both the numerator (4) and the denominator (10) are divisible by 2. Simplifying, we get 2/5.

5. Combine the whole number and the simplified fraction: This gives us the mixed number 9 2/5.

Therefore, 9.4 as a fraction is 9 2/5.

Converting to an Improper Fraction (Optional)

While 9 2/5 is perfectly acceptable, you might need to express it as an improper fraction (where the numerator is larger than the denominator) for some calculations. To do this:

1. Multiply the whole number by the denominator: 9 x 5 = 45

2. Add the numerator: 45 + 2 = 47

3. Keep the same denominator: 5

Therefore, 9.4 as an improper fraction is 47/5.