357/340 as a Decimal and Mixed Number

357/340 as a decimal and mixed number expansion provides the detailed information about what is 357/340 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/340 as a Decimal
357/340 = 1.05
Hence,
357/340 as a decimal equals to 1.05
where,
357/340 is a given fraction,
The decimal expansion of 357/340 is 1.05

357/340 as a Mixed Number
357/340 = (340 + 17)/340
= 340/340 + 17/340
= 1 + 17/340
= 1 17/340
357/340 = 1 17/340

Hence,
357/340 as a mixed number is 1 ¹⁷/₃₄₀
where,
357/340 is a given fraction,
1 ¹⁷/₃₄₀ is the mixed number representation of 357/340.

The below work with steps provide the detailed information about how to convert fraction 357/340 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/340

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/340.

step 2 The numerator is greater than the denominator of the fraction 357/340, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/340
= 340 + 17/340

step 3 Make the above expression as individual fractions:
= 340/340 + 17/340

step 4 Simplify the above expression:
= 1 x 340/340 + 17/340
= 1 + 17/340
= 1 + 1 x 17/20 x 17
= 1 + 1/20
1 + 1/20 can be written as a mixed number 1 ¹/₂₀.


step 5 Find the decimal equivalent for the fractional part 1/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/20 x 5/5)
= 1 + 5/100

step 6 Simplify the above expression further:
= 1 + 0.05
= 1.05
357/340 = 1.05

Hence,
357/340 as a decimal is 1.05
357/340 as a mixed number is 1 ¹/₂₀