301/101 as a decimal and mixed number expansion provides the detailed information about what is 301/101 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
301/101 as a Decimal
301/101 = 2.9802
Hence,
301/101 as a decimal equals to 2.9802
where,
301/101 is a given fraction,
The decimal expansion of 301/101 is 2.9802
301/101 as a Mixed Number
301/101 = (202 + 99)/101
= 202/101 + 99/101
= 2 + 99/101
= 2 99/101
301/101 = 2 99/101
Hence,
301/101 as a mixed number is 2 99/101
where,
301/101 is a given fraction,
2 99/101 is the mixed number representation of 301/101.
The below work with steps provide the detailed information about how to convert fraction 301/101 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 301/101
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 301/101.
step 2 The numerator is greater than the denominator of the fraction 301/101, so write the given fraction in the expression form in terms of denominator as like the below:
= 301/101
= 202 + 99/101
= (2 x 101) + 99/101
step 3 Make the above expression as individual fractions:
= (2 x 101)/101 + 99/101
step 4 Simplify the above expression:
= 2 x 101/101 + 99/101
= 2 + 99/101
2 + 99/101 can be written as a mixed number 2 99/101.
step 5 Find the decimal equivalent for the fractional part 99/101 in the above expression:
= 2 + 0.9802
= 2.9802
301/101 = 2.9802
Hence,
301/101 as a decimal is 2.9802
301/101 as a mixed number is 2 99/101