355/35 as a Decimal and Mixed Number

355/35 as a decimal and mixed number expansion provides the detailed information about what is 355/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/35 as a Decimal
355/35 = 10.1429
Hence,
355/35 as a decimal equals to 10.1429
where,
355/35 is a given fraction,
The decimal expansion of 355/35 is 10.1429

355/35 as a Mixed Number
355/35 = (350 + 5)/35
= 350/35 + 5/35
= 10 + 5/35
= 10 5/35
355/35 = 10 5/35

Hence,
355/35 as a mixed number is 10 ⁵/₃₅
where,
355/35 is a given fraction,
10 ⁵/₃₅ is the mixed number representation of 355/35.

The below work with steps provide the detailed information about how to convert fraction 355/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/35.

step 2 The numerator is greater than the denominator of the fraction 355/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/35
= 350 + 5/35
= (10 x 35) + 5/35

step 3 Make the above expression as individual fractions:
= (10 x 35)/35 + 5/35

step 4 Simplify the above expression:
= 10 x 35/35 + 5/35
= 10 + 5/35
= 10 + 1 x 5/7 x 5
= 10 + 1/7
10 + 1/7 can be written as a mixed number 10 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 10 + 0.1429
= 10.1429
355/35 = 10.1429

Hence,
355/35 as a decimal is 10.1429
355/35 as a mixed number is 10 ¹/₇