316/242 as a Decimal and Mixed Number

316/242 as a decimal and mixed number expansion provides the detailed information about what is 316/242 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

316/242 as a Decimal
316/242 = 1.3058
Hence,
316/242 as a decimal equals to 1.3058
where,
316/242 is a given fraction,
The decimal expansion of 316/242 is 1.3058

316/242 as a Mixed Number
316/242 = (242 + 74)/242
= 242/242 + 74/242
= 1 + 74/242
= 1 74/242
316/242 = 1 74/242

Hence,
316/242 as a mixed number is 1 ⁷⁴/₂₄₂
where,
316/242 is a given fraction,
1 ⁷⁴/₂₄₂ is the mixed number representation of 316/242.

The below work with steps provide the detailed information about how to convert fraction 316/242 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/242

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/242.

step 2 The numerator is greater than the denominator of the fraction 316/242, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/242
= 242 + 74/242

step 3 Make the above expression as individual fractions:
= 242/242 + 74/242

step 4 Simplify the above expression:
= 1 x 242/242 + 74/242
= 1 + 74/242
= 1 + 37 x 2/121 x 2
= 1 + 37/121
1 + 37/121 can be written as a mixed number 1 ³⁷/₁₂₁.


step 5 Find the decimal equivalent for the fractional part 37/121 in the above expression:
= 1 + 0.3058
= 1.3058
316/242 = 1.3058

Hence,
316/242 as a decimal is 1.3058
316/242 as a mixed number is 1 ³⁷/₁₂₁