345/35 as a Decimal and Mixed Number

345/35 as a decimal and mixed number expansion provides the detailed information about what is 345/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/35 as a Decimal
345/35 = 9.8571
Hence,
345/35 as a decimal equals to 9.8571
where,
345/35 is a given fraction,
The decimal expansion of 345/35 is 9.8571

345/35 as a Mixed Number
345/35 = (315 + 30)/35
= 315/35 + 30/35
= 9 + 30/35
= 9 30/35
345/35 = 9 30/35

Hence,
345/35 as a mixed number is 9 ³⁰/₃₅
where,
345/35 is a given fraction,
9 ³⁰/₃₅ is the mixed number representation of 345/35.

The below work with steps provide the detailed information about how to convert fraction 345/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/35.

step 2 The numerator is greater than the denominator of the fraction 345/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/35
= 315 + 30/35
= (9 x 35) + 30/35

step 3 Make the above expression as individual fractions:
= (9 x 35)/35 + 30/35

step 4 Simplify the above expression:
= 9 x 35/35 + 30/35
= 9 + 30/35
= 9 + 6 x 5/7 x 5
= 9 + 6/7
9 + 6/7 can be written as a mixed number 9 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 9 + 0.8571
= 9.8571
345/35 = 9.8571

Hence,
345/35 as a decimal is 9.8571
345/35 as a mixed number is 9 ⁶/₇