245/34 as a Decimal and Mixed Number

245/34 as a decimal and mixed number expansion provides the detailed information about what is 245/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/34 as a Decimal
245/34 = 7.2059
Hence,
245/34 as a decimal equals to 7.2059
where,
245/34 is a given fraction,
The decimal expansion of 245/34 is 7.2059

245/34 as a Mixed Number
245/34 = (238 + 7)/34
= 238/34 + 7/34
= 7 + 7/34
= 7 7/34
245/34 = 7 7/34

Hence,
245/34 as a mixed number is 7 ⁷/₃₄
where,
245/34 is a given fraction,
7 ⁷/₃₄ is the mixed number representation of 245/34.

The below work with steps provide the detailed information about how to convert fraction 245/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/34.

step 2 The numerator is greater than the denominator of the fraction 245/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/34
= 238 + 7/34
= (7 x 34) + 7/34

step 3 Make the above expression as individual fractions:
= (7 x 34)/34 + 7/34

step 4 Simplify the above expression:
= 7 x 34/34 + 7/34
= 7 + 7/34
7 + 7/34 can be written as a mixed number 7 ⁷/₃₄.


step 5 Find the decimal equivalent for the fractional part 7/34 in the above expression:
= 7 + 0.2059
= 7.2059
245/34 = 7.2059

Hence,
245/34 as a decimal is 7.2059
245/34 as a mixed number is 7 ⁷/₃₄