165/148 as a Decimal and Mixed Number

165/148 as a decimal and mixed number expansion provides the detailed information about what is 165/148 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/148 as a Decimal
165/148 = 1.1149
Hence,
165/148 as a decimal equals to 1.1149
where,
165/148 is a given fraction,
The decimal expansion of 165/148 is 1.1149

165/148 as a Mixed Number
165/148 = (148 + 17)/148
= 148/148 + 17/148
= 1 + 17/148
= 1 17/148
165/148 = 1 17/148

Hence,
165/148 as a mixed number is 1 ¹⁷/₁₄₈
where,
165/148 is a given fraction,
1 ¹⁷/₁₄₈ is the mixed number representation of 165/148.

The below work with steps provide the detailed information about how to convert fraction 165/148 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/148

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/148.

step 2 The numerator is greater than the denominator of the fraction 165/148, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/148
= 148 + 17/148

step 3 Make the above expression as individual fractions:
= 148/148 + 17/148

step 4 Simplify the above expression:
= 1 x 148/148 + 17/148
= 1 + 17/148
1 + 17/148 can be written as a mixed number 1 ¹⁷/₁₄₈.


step 5 Find the decimal equivalent for the fractional part 17/148 in the above expression:
= 1 + 0.1149
= 1.1149
165/148 = 1.1149

Hence,
165/148 as a decimal is 1.1149
165/148 as a mixed number is 1 ¹⁷/₁₄₈