Write as a reduced fraction 10 1/8 %
10.125/100
=10125/100000
=81/800
To write 10 1/8% as a reduced fraction, we need to first understand what percent means. "Percent" means "per hundred," so 10 1/8% is equivalent to 10 1/8 per hundred.
Step 1: Convert the mixed number to an improper fraction.
To convert 10 1/8 to an improper fraction, multiply the whole number (10) by the denominator of the fraction (8) and add the numerator (1). Then, write the result over the denominator (8).
10 1/8 = (10 * 8 + 1) / 8 = 81 / 8
Step 2: Convert the fraction to a decimal.
To convert 81/8 to a decimal, divide the numerator (81) by the denominator (8).
81 ÷ 8 = 10.125
Step 3: Convert the decimal to a fraction.
To convert 10.125 to a fraction, we need to determine the place value of the decimal. In this case, the decimal extends to three decimal places (0.125).
Since there is a 1 in the thousands place (0.125 = 125/1000), we can express it as a fraction.
10.125 = 10 + 125/1000
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 125.
125/1000 ÷ 125/125 = 1/8
Step 4: Convert the fraction to a percent.
To convert 1/8 to a percent, multiply it by 100.
1/8 * 100 = 12.5%
Therefore, 10 1/8% as a reduced fraction is 12.5%.