357/105 as a Decimal and Mixed Number

357/105 as a decimal and mixed number expansion provides the detailed information about what is 357/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/105 as a Decimal
357/105 = 3.4
Hence,
357/105 as a decimal equals to 3.4
where,
357/105 is a given fraction,
The decimal expansion of 357/105 is 3.4

357/105 as a Mixed Number
357/105 = (315 + 42)/105
= 315/105 + 42/105
= 3 + 42/105
= 3 42/105
357/105 = 3 42/105

Hence,
357/105 as a mixed number is 3 ⁴²/₁₀₅
where,
357/105 is a given fraction,
3 ⁴²/₁₀₅ is the mixed number representation of 357/105.

The below work with steps provide the detailed information about how to convert fraction 357/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/105.

step 2 The numerator is greater than the denominator of the fraction 357/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/105
= 315 + 42/105
= (3 x 105) + 42/105

step 3 Make the above expression as individual fractions:
= (3 x 105)/105 + 42/105

step 4 Simplify the above expression:
= 3 x 105/105 + 42/105
= 3 + 42/105
= 3 + 2 x 21/5 x 21
= 3 + 2/5
3 + 2/5 can be written as a mixed number 3 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (2/5 x 2/2)
= 3 + 4/10

step 6 Simplify the above expression further:
= 3 + 0.4
= 3.4
357/105 = 3.4

Hence,
357/105 as a decimal is 3.4
357/105 as a mixed number is 3 ²/₅