Given: 35.5%
35.5% =
Clear the decimal in the numerator:
Multiply numerator and denominator by 10 (101) since there is 1 digit to the right of the decimal point in 35.5
Simplify
Greatest Common Factor of 355 and 1,000: GCF(355, 1,000) = 5
Therefore, 35.5% converted to a fraction: 35.5% =
35.5% =
35.5 /100
Clear the decimal in the numerator:
Multiply numerator and denominator by 10 (101) since there is 1 digit to the right of the decimal point in 35.5
35.5/100
= 35.5 * 10/100 * 10
= 355/1,000
Simplify
355/1,000
if possible:Greatest Common Factor of 355 and 1,000: GCF(355, 1,000) = 5
355/1,000
= 355 ÷ 5/1,000 ÷ 5
= 71/200
in simplest formTherefore, 35.5% converted to a fraction: 35.5% =
71/200
