340/48 as a Decimal and Mixed Number

340/48 as a decimal and mixed number expansion provides the detailed information about what is 340/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

340/48 as a Decimal
340/48 = 7.0833
Hence,
340/48 as a decimal equals to 7.0833
where,
340/48 is a given fraction,
The decimal expansion of 340/48 is 7.0833

340/48 as a Mixed Number
340/48 = (336 + 4)/48
= 336/48 + 4/48
= 7 + 4/48
= 7 4/48
340/48 = 7 4/48

Hence,
340/48 as a mixed number is 7 ⁴/₄₈
where,
340/48 is a given fraction,
7 ⁴/₄₈ is the mixed number representation of 340/48.

The below work with steps provide the detailed information about how to convert fraction 340/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 340/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 340/48.

step 2 The numerator is greater than the denominator of the fraction 340/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 340/48
= 336 + 4/48
= (7 x 48) + 4/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 4/48

step 4 Simplify the above expression:
= 7 x 48/48 + 4/48
= 7 + 4/48
= 7 + 1 x 4/12 x 4
= 7 + 1/12
7 + 1/12 can be written as a mixed number 7 ¹/₁₂.


step 5 Find the decimal equivalent for the fractional part 1/12 in the above expression:
= 7 + 0.0833
= 7.0833
340/48 = 7.0833

Hence,
340/48 as a decimal is 7.0833
340/48 as a mixed number is 7 ¹/₁₂