290/248 as a Decimal and Mixed Number

290/248 as a decimal and mixed number expansion provides the detailed information about what is 290/248 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

290/248 as a Decimal
290/248 = 1.1694
Hence,
290/248 as a decimal equals to 1.1694
where,
290/248 is a given fraction,
The decimal expansion of 290/248 is 1.1694

290/248 as a Mixed Number
290/248 = (248 + 42)/248
= 248/248 + 42/248
= 1 + 42/248
= 1 42/248
290/248 = 1 42/248

Hence,
290/248 as a mixed number is 1 ⁴²/₂₄₈
where,
290/248 is a given fraction,
1 ⁴²/₂₄₈ is the mixed number representation of 290/248.

The below work with steps provide the detailed information about how to convert fraction 290/248 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 290/248

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 290/248.

step 2 The numerator is greater than the denominator of the fraction 290/248, so write the given fraction in the expression form in terms of denominator as like the below:
= 290/248
= 248 + 42/248

step 3 Make the above expression as individual fractions:
= 248/248 + 42/248

step 4 Simplify the above expression:
= 1 x 248/248 + 42/248
= 1 + 42/248
= 1 + 21 x 2/124 x 2
= 1 + 21/124
1 + 21/124 can be written as a mixed number 1 ²¹/₁₂₄.


step 5 Find the decimal equivalent for the fractional part 21/124 in the above expression:
= 1 + 0.1694
= 1.1694
290/248 = 1.1694

Hence,
290/248 as a decimal is 1.1694
290/248 as a mixed number is 1 ²¹/₁₂₄