342/320 as a Decimal and Mixed Number

342/320 as a decimal and mixed number expansion provides the detailed information about what is 342/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/320 as a Decimal
342/320 = 1.0688
Hence,
342/320 as a decimal equals to 1.0688
where,
342/320 is a given fraction,
The decimal expansion of 342/320 is 1.0688

342/320 as a Mixed Number
342/320 = (320 + 22)/320
= 320/320 + 22/320
= 1 + 22/320
= 1 22/320
342/320 = 1 22/320

Hence,
342/320 as a mixed number is 1 ²²/₃₂₀
where,
342/320 is a given fraction,
1 ²²/₃₂₀ is the mixed number representation of 342/320.

The below work with steps provide the detailed information about how to convert fraction 342/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/320.

step 2 The numerator is greater than the denominator of the fraction 342/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/320
= 320 + 22/320

step 3 Make the above expression as individual fractions:
= 320/320 + 22/320

step 4 Simplify the above expression:
= 1 x 320/320 + 22/320
= 1 + 22/320
= 1 + 11 x 2/160 x 2
= 1 + 11/160
1 + 11/160 can be written as a mixed number 1 ¹¹/₁₆₀.


step 5 Find the decimal equivalent for the fractional part 11/160 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (11/160 x 625/625)
= 1 + 6875/100000

step 6 Simplify the above expression further:
= 1 + 0.06875
= 1.06875
342/320 = 1.06875

Hence,
342/320 as a decimal is 1.06875
342/320 as a mixed number is 1 ¹¹/₁₆₀