162/74 as a Decimal and Mixed Number
162/74 as a decimal and mixed number expansion provides the detailed information about what is 162/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
162/74 as a Decimal
162/74 = 2.1892
Hence,
162/74 as a decimal equals to 2.1892
where,
162/74 is a given fraction,
The decimal expansion of 162/74 is 2.1892
162/74 as a Mixed Number
162/74 = (148 + 14)/74
= 148/74 + 14/74
= 2 + 14/74
= 2 14/74
162/74 = 2 14/74
Hence,
162/74 as a mixed number is 2 14/74
where,
162/74 is a given fraction,
2 14/74 is the mixed number representation of 162/74.
How-to: 162/74 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 162/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/74
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/74.
step 2 The numerator is greater than the denominator of the fraction 162/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/74
= 148 + 14/74
= (2 x 74) + 14/74
step 3 Make the above expression as individual fractions:
= (2 x 74)/74 + 14/74
step 4 Simplify the above expression:
= 2 x 74/74 + 14/74
= 2 + 14/74
= 2 + 7 x 2/37 x 2
= 2 + 7/37
2 + 7/37 can be written as a mixed number 2 7/37.
step 5 Find the decimal equivalent for the fractional part 7/37 in the above expression:
= 2 + 0.1892
= 2.1892
162/74 = 2.1892
Hence,
162/74 as a decimal is 2.1892
162/74 as a mixed number is 2 7/37