316/26 as a decimal and mixed number expansion provides the detailed information about what is 316/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
316/26 as a Decimal
316/26 = 12.1538
Hence,
316/26 as a decimal equals to 12.1538
where,
316/26 is a given fraction,
The decimal expansion of 316/26 is 12.1538
316/26 as a Mixed Number
316/26 = (312 + 4)/26
= 312/26 + 4/26
= 12 + 4/26
= 12 4/26
316/26 = 12 4/26
Hence,
316/26 as a mixed number is 12 4/26
where,
316/26 is a given fraction,
12 4/26 is the mixed number representation of 316/26.
The below work with steps provide the detailed information about how to convert fraction 316/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/26
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/26.
step 2 The numerator is greater than the denominator of the fraction 316/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/26
= 312 + 4/26
= (12 x 26) + 4/26
step 3 Make the above expression as individual fractions:
= (12 x 26)/26 + 4/26
step 4 Simplify the above expression:
= 12 x 26/26 + 4/26
= 12 + 4/26
= 12 + 2 x 2/13 x 2
= 12 + 2/13
12 + 2/13 can be written as a mixed number 12 2/13.
step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 12 + 0.1538
= 12.1538
316/26 = 12.1538
Hence,
316/26 as a decimal is 12.1538
316/26 as a mixed number is 12 2/13