Question

write the fraction or mixed number as a percent.

1. ( 1\frac{11}{20} )

Explanation:

Step1: Convert mixed number to improper fraction

A mixed number \(1\frac{11}{20}\) can be converted to an improper fraction by the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here, \(a = 1\), \(b = 11\), \(c=20\), so \(\frac{1\times20 + 11}{20}=\frac{20 + 11}{20}=\frac{31}{20}\).

Step2: Convert fraction to decimal

To convert the fraction \(\frac{31}{20}\) to a decimal, we perform the division: \(31\div20 = 1.55\).

Step3: Convert decimal to percent

To convert a decimal to a percent, we multiply the decimal by \(100\%\). So, \(1.55\times100\%=155\%\).

Answer:

\(155\%\)