205/20 as a decimal and mixed number expansion provides the detailed information about what is 205/20 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
205/20 as a Decimal
205/20 = 10.25
Hence,
205/20 as a decimal equals to 10.25
where,
205/20 is a given fraction,
The decimal expansion of 205/20 is 10.25
205/20 as a Mixed Number
205/20 = (200 + 5)/20
= 200/20 + 5/20
= 10 + 5/20
= 10 5/20
205/20 = 10 5/20
Hence,
205/20 as a mixed number is 10 5/20
where,
205/20 is a given fraction,
10 5/20 is the mixed number representation of 205/20.
The below work with steps provide the detailed information about how to convert fraction 205/20 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 205/20
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 205/20.
step 2 Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 205/20 x 5/5
= 1025/100
step 3 The numerator 1025 of fraction 1025/100 can also be expressed as 10.25. Being 100 as the denominator, move the decimal point 2 decimal places from right to left in the numerator to write the fraction as decimal number.
= 1025/100
= 10.25
Hence,
205/20 as a decimal is 10.25