48/14 as a Decimal and Mixed Number

48/14 as a decimal and mixed number expansion provides the detailed information about what is 48/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

48/14 as a Decimal
48/14 = 3.4286
Hence,
48/14 as a decimal equals to 3.4286
where,
48/14 is a given fraction,
The decimal expansion of 48/14 is 3.4286

48/14 as a Mixed Number
48/14 = (42 + 6)/14
= 42/14 + 6/14
= 3 + 6/14
= 3 6/14
48/14 = 3 6/14

Hence,
48/14 as a mixed number is 3 ⁶/₁₄
where,
48/14 is a given fraction,
3 ⁶/₁₄ is the mixed number representation of 48/14.

The below work with steps provide the detailed information about how to convert fraction 48/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 48/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 48/14.

step 2 The numerator is greater than the denominator of the fraction 48/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 48/14
= 42 + 6/14
= (3 x 14) + 6/14

step 3 Make the above expression as individual fractions:
= (3 x 14)/14 + 6/14

step 4 Simplify the above expression:
= 3 x 14/14 + 6/14
= 3 + 6/14
= 3 + 3 x 2/7 x 2
= 3 + 3/7
3 + 3/7 can be written as a mixed number 3 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 3 + 0.4286
= 3.4286
48/14 = 3.4286

Hence,
48/14 as a decimal is 3.4286
48/14 as a mixed number is 3 ³/₇