Which fractions are equivalent to 0.48? Select all that apply.
Question
Which fractions are equivalent to 0.48? Select all that apply.
Solution 1
To find fractions that are equivalent to 0.48, we first express 0.48 as a fraction.
Step 1: Write down 0.48 as a fraction. Since 0.48 has two decimal places, we put it over 100 to get 48/100.
Step 2: Simplify the fraction. The greatest common divisor (GCD) of 48 and 100 is 4. So, we divide both the numerator and the denominator by 4 to get the simplified fraction. 48 ÷ 4 = 12 and 100 ÷ 4 = 25. So, 48/100 simplifies to 12/25.
Therefore, the fractions equivalent to 0.48 are 48/100, 12/25, and any other fractions that can be simplified to 12/25.
Solution 2
To find fractions that are equivalent to 0.48, we first express 0.48 as a fraction.
Step 1: Write down 0.48 as a fraction. Since 0.48 has two decimal places, we put it over 100 to get 48/100.
Step 2: Simplify the fraction. The greatest common divisor (GCD) of 48 and 100 is 4. So, we divide both the numerator and the denominator by 4 to get the simplified fraction. 48 ÷ 4 = 12 and 100 ÷ 4 = 25. So, 48/100 simplifies to 12/25.
Therefore, the fractions equivalent to 0.48 are 48/100, 12/25, and any other fractions that can be simplified to 12/25. For example, 24/50, 36/75, 60/125, etc. are all equivalent to 0.48.
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