344/45 as a Decimal and Mixed Number

344/45 as a decimal and mixed number expansion provides the detailed information about what is 344/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/45 as a Decimal
344/45 = 7.6444
Hence,
344/45 as a decimal equals to 7.6444
where,
344/45 is a given fraction,
The decimal expansion of 344/45 is 7.6444

344/45 as a Mixed Number
344/45 = (315 + 29)/45
= 315/45 + 29/45
= 7 + 29/45
= 7 29/45
344/45 = 7 29/45

Hence,
344/45 as a mixed number is 7 ²⁹/₄₅
where,
344/45 is a given fraction,
7 ²⁹/₄₅ is the mixed number representation of 344/45.

The below work with steps provide the detailed information about how to convert fraction 344/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/45.

step 2 The numerator is greater than the denominator of the fraction 344/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/45
= 315 + 29/45
= (7 x 45) + 29/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 29/45

step 4 Simplify the above expression:
= 7 x 45/45 + 29/45
= 7 + 29/45
7 + 29/45 can be written as a mixed number 7 ²⁹/₄₅.


step 5 Find the decimal equivalent for the fractional part 29/45 in the above expression:
= 7 + 0.6444
= 7.6444
344/45 = 7.6444

Hence,
344/45 as a decimal is 7.6444
344/45 as a mixed number is 7 ²⁹/₄₅