Question

Convert the decimal to fraction and reduce to lowest terms as a mixed number:

352.6842.
Whole number
Numerator
Denominator
I
A/
A
A

Answer 1

To convert the decimal 352.6842, it can be written as the fraction 88171/250 in simplest form. As a mixed number, it is equivalent to 352 and 121/250.

Step-by-step explanation:

To convert the decimal 352.6842 to a fraction, we can count the number of decimal places after the whole number and make the denominator a power of 10. In this case, there are 4 decimal places, so we make the denominator 10,000. The numerator is obtained by removing the decimal point and considering 352.6842 as a whole number, which gives us 3526842. Thus, the fraction is 3526842/10000. Now, we can reduce this fraction to simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD). Consequently, 3526842/10000 reduces to 88171/250.

To express the fraction 88171/250 as a mixed number, we divide the numerator (88171) by the denominator (250). The quotient is the whole number part of the mixed number, which is 352. The remainder is the numerator of the fractional part, which is 121. So the mixed number is 352 and 121/250.

Learn more about Converting decimals to fractions in simplest form