342/48 as a Decimal and Mixed Number

342/48 as a decimal and mixed number expansion provides the detailed information about what is 342/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/48 as a Decimal
342/48 = 7.125
Hence,
342/48 as a decimal equals to 7.125
where,
342/48 is a given fraction,
The decimal expansion of 342/48 is 7.125

342/48 as a Mixed Number
342/48 = (336 + 6)/48
= 336/48 + 6/48
= 7 + 6/48
= 7 6/48
342/48 = 7 6/48

Hence,
342/48 as a mixed number is 7 ⁶/₄₈
where,
342/48 is a given fraction,
7 ⁶/₄₈ is the mixed number representation of 342/48.

The below work with steps provide the detailed information about how to convert fraction 342/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/48.

step 2 The numerator is greater than the denominator of the fraction 342/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/48
= 336 + 6/48
= (7 x 48) + 6/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 6/48

step 4 Simplify the above expression:
= 7 x 48/48 + 6/48
= 7 + 6/48
= 7 + 1 x 6/8 x 6
= 7 + 1/8
7 + 1/8 can be written as a mixed number 7 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 7 + (1/8 x 125/125)
= 7 + 125/1000

step 6 Simplify the above expression further:
= 7 + 0.125
= 7.125
342/48 = 7.125

Hence,
342/48 as a decimal is 7.125
342/48 as a mixed number is 7 ¹/₈