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Answer :
To convert the decimal number 1.57 into a fraction, follow these steps:
1. Identify the place value of the decimal: The number 1.57 has two digits after the decimal point, which means it is in the hundredths place.
2. Express the decimal as a fraction: Write 1.57 as a fraction by using the place value. It becomes:
[tex]\[
\frac{157}{100}
\][/tex]
Here, 157 is the whole number without the decimal, and 100 corresponds to the place value (hundredths).
3. Simplify the fraction (if needed): To simplify a fraction, look for the greatest common divisor (GCD) of the numerator and the denominator, and divide both by this number. For 157 and 100, the GCD is 1, so the fraction is already in its simplest form.
Hence, 1.57 as a fraction is:
[tex]\[
\frac{157}{100}
\][/tex]
This fraction accurately represents 1.57.
1. Identify the place value of the decimal: The number 1.57 has two digits after the decimal point, which means it is in the hundredths place.
2. Express the decimal as a fraction: Write 1.57 as a fraction by using the place value. It becomes:
[tex]\[
\frac{157}{100}
\][/tex]
Here, 157 is the whole number without the decimal, and 100 corresponds to the place value (hundredths).
3. Simplify the fraction (if needed): To simplify a fraction, look for the greatest common divisor (GCD) of the numerator and the denominator, and divide both by this number. For 157 and 100, the GCD is 1, so the fraction is already in its simplest form.
Hence, 1.57 as a fraction is:
[tex]\[
\frac{157}{100}
\][/tex]
This fraction accurately represents 1.57.
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