165/130 as a Decimal and Mixed Number
165/130 as a decimal and mixed number expansion provides the detailed information about what is 165/130 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
165/130 as a Decimal
165/130 = 1.2692
Hence,
165/130 as a decimal equals to 1.2692
where,
165/130 is a given fraction,
The decimal expansion of 165/130 is 1.2692
165/130 as a Mixed Number
165/130 = (130 + 35)/130
= 130/130 + 35/130
= 1 + 35/130
= 1 35/130
165/130 = 1 35/130
Hence,
165/130 as a mixed number is 1 35/130
where,
165/130 is a given fraction,
1 35/130 is the mixed number representation of 165/130.
How-to: 165/130 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 165/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/130
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/130.
step 2 The numerator is greater than the denominator of the fraction 165/130, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/130
= 130 + 35/130
step 3 Make the above expression as individual fractions:
= 130/130 + 35/130
step 4 Simplify the above expression:
= 1 x 130/130 + 35/130
= 1 + 35/130
= 1 + 7 x 5/26 x 5
= 1 + 7/26
1 + 7/26 can be written as a mixed number 1 7/26.
step 5 Find the decimal equivalent for the fractional part 7/26 in the above expression:
= 1 + 0.2692
= 1.2692
165/130 = 1.2692
Hence,
165/130 as a decimal is 1.2692
165/130 as a mixed number is 1 7/26