258/138 as a decimal and mixed number expansion provides the detailed information about what is 258/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
258/138 as a Decimal
258/138 = 1.8696
Hence,
258/138 as a decimal equals to 1.8696
where,
258/138 is a given fraction,
The decimal expansion of 258/138 is 1.8696
258/138 as a Mixed Number
258/138 = (138 + 120)/138
= 138/138 + 120/138
= 1 + 120/138
= 1 120/138
258/138 = 1 120/138
Hence,
258/138 as a mixed number is 1 120/138
where,
258/138 is a given fraction,
1 120/138 is the mixed number representation of 258/138.
The below work with steps provide the detailed information about how to convert fraction 258/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/138
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/138.
step 2 The numerator is greater than the denominator of the fraction 258/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/138
= 138 + 120/138
step 3 Make the above expression as individual fractions:
= 138/138 + 120/138
step 4 Simplify the above expression:
= 1 x 138/138 + 120/138
= 1 + 120/138
= 1 + 20 x 6/23 x 6
= 1 + 20/23
1 + 20/23 can be written as a mixed number 1 20/23.
step 5 Find the decimal equivalent for the fractional part 20/23 in the above expression:
= 1 + 0.8696
= 1.8696
258/138 = 1.8696
Hence,
258/138 as a decimal is 1.8696
258/138 as a mixed number is 1 20/23