To convert a decimal to a fraction, identify the place values of each digit, express it as a fraction using the decimal place values, and then simplify the fraction by finding the GCF and dividing both the numerator and denominator by it. In this case, the decimal 0.48 is equivalent to the simplified fraction 12/25.
To convert the decimal 0.48 to a fraction in simplest form, we first need to understand the place value of each digit. In 0.48, the 4 is in the tenths place, and the 8 is in the hundredths place. To express this decimal as a fraction, we can use the place values to create the numerator and denominator.
The decimal 0.48 can be written as the fraction 48/100, where 48 is the numerator and 100 is the denominator. However, to simplify this fraction, we can find the greatest common factor (GCF) of the numerator and denominator and divide both by it.
The GCF of 48 and 100 is 4. Dividing both the numerator and denominator by 4 yields:
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Therefore, 0.48 can be expressed as the simplified fraction 12/25.