316/274 as a Decimal and Mixed Number

316/274 as a decimal and mixed number expansion provides the detailed information about what is 316/274 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

316/274 as a Decimal
316/274 = 1.1533
Hence,
316/274 as a decimal equals to 1.1533
where,
316/274 is a given fraction,
The decimal expansion of 316/274 is 1.1533

316/274 as a Mixed Number
316/274 = (274 + 42)/274
= 274/274 + 42/274
= 1 + 42/274
= 1 42/274
316/274 = 1 42/274

Hence,
316/274 as a mixed number is 1 ⁴²/₂₇₄
where,
316/274 is a given fraction,
1 ⁴²/₂₇₄ is the mixed number representation of 316/274.

The below work with steps provide the detailed information about how to convert fraction 316/274 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/274

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/274.

step 2 The numerator is greater than the denominator of the fraction 316/274, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/274
= 274 + 42/274

step 3 Make the above expression as individual fractions:
= 274/274 + 42/274

step 4 Simplify the above expression:
= 1 x 274/274 + 42/274
= 1 + 42/274
= 1 + 21 x 2/137 x 2
= 1 + 21/137
1 + 21/137 can be written as a mixed number 1 ²¹/₁₃₇.


step 5 Find the decimal equivalent for the fractional part 21/137 in the above expression:
= 1 + 0.1533
= 1.1533
316/274 = 1.1533

Hence,
316/274 as a decimal is 1.1533
316/274 as a mixed number is 1 ²¹/₁₃₇