343/48 as a Decimal and Mixed Number

343/48 as a decimal and mixed number expansion provides the detailed information about what is 343/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

343/48 as a Decimal
343/48 = 7.1458
Hence,
343/48 as a decimal equals to 7.1458
where,
343/48 is a given fraction,
The decimal expansion of 343/48 is 7.1458

343/48 as a Mixed Number
343/48 = (336 + 7)/48
= 336/48 + 7/48
= 7 + 7/48
= 7 7/48
343/48 = 7 7/48

Hence,
343/48 as a mixed number is 7 ⁷/₄₈
where,
343/48 is a given fraction,
7 ⁷/₄₈ is the mixed number representation of 343/48.

The below work with steps provide the detailed information about how to convert fraction 343/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 343/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 343/48.

step 2 The numerator is greater than the denominator of the fraction 343/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 343/48
= 336 + 7/48
= (7 x 48) + 7/48

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

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


step 5 Find the decimal equivalent for the fractional part 7/48 in the above expression:
= 7 + 0.1458
= 7.1458
343/48 = 7.1458

Hence,
343/48 as a decimal is 7.1458
343/48 as a mixed number is 7 ⁷/₄₈