342/7 as a decimal and mixed number expansion provides the detailed information about what is 342/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
342/7 as a Decimal
342/7 = 48.8571
Hence,
342/7 as a decimal equals to 48.8571
where,
342/7 is a given fraction,
The decimal expansion of 342/7 is 48.8571
342/7 as a Mixed Number
342/7 = (336 + 6)/7
= 336/7 + 6/7
= 48 + 6/7
= 48 6/7
342/7 = 48 6/7
Hence,
342/7 as a mixed number is 48 6/7
where,
342/7 is a given fraction,
48 6/7 is the mixed number representation of 342/7.
The below work with steps provide the detailed information about how to convert fraction 342/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/7.
step 2 The numerator is greater than the denominator of the fraction 342/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/7
= 336 + 6/7
= (48 x 7) + 6/7
step 3 Make the above expression as individual fractions:
= (48 x 7)/7 + 6/7
step 4 Simplify the above expression:
= 48 x 7/7 + 6/7
= 48 + 6/7
48 + 6/7 can be written as a mixed number 48 6/7.
step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 48 + 0.8571
= 48.8571
342/7 = 48.8571
Hence,
342/7 as a decimal is 48.8571
342/7 as a mixed number is 48 6/7