334/48 as a Decimal and Mixed Number

334/48 as a decimal and mixed number expansion provides the detailed information about what is 334/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

334/48 as a Decimal
334/48 = 6.9583
Hence,
334/48 as a decimal equals to 6.9583
where,
334/48 is a given fraction,
The decimal expansion of 334/48 is 6.9583

334/48 as a Mixed Number
334/48 = (288 + 46)/48
= 288/48 + 46/48
= 6 + 46/48
= 6 46/48
334/48 = 6 46/48

Hence,
334/48 as a mixed number is 6 ⁴⁶/₄₈
where,
334/48 is a given fraction,
6 ⁴⁶/₄₈ is the mixed number representation of 334/48.

The below work with steps provide the detailed information about how to convert fraction 334/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 334/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 334/48.

step 2 The numerator is greater than the denominator of the fraction 334/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 334/48
= 288 + 46/48
= (6 x 48) + 46/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 46/48

step 4 Simplify the above expression:
= 6 x 48/48 + 46/48
= 6 + 46/48
= 6 + 23 x 2/24 x 2
= 6 + 23/24
6 + 23/24 can be written as a mixed number 6 ²³/₂₄.


step 5 Find the decimal equivalent for the fractional part 23/24 in the above expression:
= 6 + 0.9583
= 6.9583
334/48 = 6.9583

Hence,
334/48 as a decimal is 6.9583
334/48 as a mixed number is 6 ²³/₂₄