345/338 as a Decimal and Mixed Number

345/338 as a decimal and mixed number expansion provides the detailed information about what is 345/338 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/338 as a Decimal
345/338 = 1.0207
Hence,
345/338 as a decimal equals to 1.0207
where,
345/338 is a given fraction,
The decimal expansion of 345/338 is 1.0207

345/338 as a Mixed Number
345/338 = (338 + 7)/338
= 338/338 + 7/338
= 1 + 7/338
= 1 7/338
345/338 = 1 7/338

Hence,
345/338 as a mixed number is 1 ⁷/₃₃₈
where,
345/338 is a given fraction,
1 ⁷/₃₃₈ is the mixed number representation of 345/338.

The below work with steps provide the detailed information about how to convert fraction 345/338 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/338

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/338.

step 2 The numerator is greater than the denominator of the fraction 345/338, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/338
= 338 + 7/338

step 3 Make the above expression as individual fractions:
= 338/338 + 7/338

step 4 Simplify the above expression:
= 1 x 338/338 + 7/338
= 1 + 7/338
1 + 7/338 can be written as a mixed number 1 ⁷/₃₃₈.


step 5 Find the decimal equivalent for the fractional part 7/338 in the above expression:
= 1 + 0.0207
= 1.0207
345/338 = 1.0207

Hence,
345/338 as a decimal is 1.0207
345/338 as a mixed number is 1 ⁷/₃₃₈