Convert 0.75 to a fraction in simplest form.

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Multiple Choice

Convert 0.75 to a fraction in simplest form.

To convert a terminating decimal to a fraction, replace the decimal with a fraction over a power of ten. Since 0.75 has two digits after the decimal, it becomes 75/100. The greatest common divisor of 75 and 100 is 25, so divide numerator and denominator by 25 to get 3/4. That is the simplest form, and it indeed equals 0.75. Checking the other options shows they correspond to decimals 0.5, about 0.666…, and 0.8, which do not match 0.75.

To convert a terminating decimal to a fraction, replace the decimal with a fraction over a power of ten. Since 0.75 has two digits after the decimal, it becomes 75/100. The greatest common divisor of 75 and 100 is 25, so divide numerator and denominator by 25 to get 3/4. That is the simplest form, and it indeed equals 0.75. Checking the other options shows they correspond to decimals 0.5, about 0.666…, and 0.8, which do not match 0.75.

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