348/290 as a Decimal and Mixed Number

348/290 as a decimal and mixed number expansion provides the detailed information about what is 348/290 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/290 as a Decimal
348/290 = 1.2
Hence,
348/290 as a decimal equals to 1.2
where,
348/290 is a given fraction,
The decimal expansion of 348/290 is 1.2

348/290 as a Mixed Number
348/290 = (290 + 58)/290
= 290/290 + 58/290
= 1 + 58/290
= 1 58/290
348/290 = 1 58/290

Hence,
348/290 as a mixed number is 1 ⁵⁸/₂₉₀
where,
348/290 is a given fraction,
1 ⁵⁸/₂₉₀ is the mixed number representation of 348/290.

The below work with steps provide the detailed information about how to convert fraction 348/290 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/290

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/290.

step 2 The numerator is greater than the denominator of the fraction 348/290, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/290
= 290 + 58/290

step 3 Make the above expression as individual fractions:
= 290/290 + 58/290

step 4 Simplify the above expression:
= 1 x 290/290 + 58/290
= 1 + 58/290
= 1 + 1 x 58/5 x 58
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (1/5 x 2/2)
= 1 + 2/10

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
348/290 = 1.2

Hence,
348/290 as a decimal is 1.2
348/290 as a mixed number is 1 ¹/₅