348/298 as a Decimal and Mixed Number

348/298 as a decimal and mixed number expansion provides the detailed information about what is 348/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/298 as a Decimal
348/298 = 1.1678
Hence,
348/298 as a decimal equals to 1.1678
where,
348/298 is a given fraction,
The decimal expansion of 348/298 is 1.1678

348/298 as a Mixed Number
348/298 = (298 + 50)/298
= 298/298 + 50/298
= 1 + 50/298
= 1 50/298
348/298 = 1 50/298

Hence,
348/298 as a mixed number is 1 ⁵⁰/₂₉₈
where,
348/298 is a given fraction,
1 ⁵⁰/₂₉₈ is the mixed number representation of 348/298.

The below work with steps provide the detailed information about how to convert fraction 348/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/298.

step 2 The numerator is greater than the denominator of the fraction 348/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/298
= 298 + 50/298

step 3 Make the above expression as individual fractions:
= 298/298 + 50/298

step 4 Simplify the above expression:
= 1 x 298/298 + 50/298
= 1 + 50/298
= 1 + 25 x 2/149 x 2
= 1 + 25/149
1 + 25/149 can be written as a mixed number 1 ²⁵/₁₄₉.


step 5 Find the decimal equivalent for the fractional part 25/149 in the above expression:
= 1 + 0.1678
= 1.1678
348/298 = 1.1678

Hence,
348/298 as a decimal is 1.1678
348/298 as a mixed number is 1 ²⁵/₁₄₉