345/297 as a Decimal and Mixed Number

345/297 as a decimal and mixed number expansion provides the detailed information about what is 345/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/297 as a Decimal
345/297 = 1.1616
Hence,
345/297 as a decimal equals to 1.1616
where,
345/297 is a given fraction,
The decimal expansion of 345/297 is 1.1616

345/297 as a Mixed Number
345/297 = (297 + 48)/297
= 297/297 + 48/297
= 1 + 48/297
= 1 48/297
345/297 = 1 48/297

Hence,
345/297 as a mixed number is 1 ⁴⁸/₂₉₇
where,
345/297 is a given fraction,
1 ⁴⁸/₂₉₇ is the mixed number representation of 345/297.

The below work with steps provide the detailed information about how to convert fraction 345/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/297.

step 2 The numerator is greater than the denominator of the fraction 345/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/297
= 297 + 48/297

step 3 Make the above expression as individual fractions:
= 297/297 + 48/297

step 4 Simplify the above expression:
= 1 x 297/297 + 48/297
= 1 + 48/297
= 1 + 16 x 3/99 x 3
= 1 + 16/99
1 + 16/99 can be written as a mixed number 1 ¹⁶/₉₉.


step 5 Find the decimal equivalent for the fractional part 16/99 in the above expression:
= 1 + 0.1616
= 1.1616
345/297 = 1.1616

Hence,
345/297 as a decimal is 1.1616
345/297 as a mixed number is 1 ¹⁶/₉₉