348/300 as a Decimal and Mixed Number

348/300 as a decimal and mixed number expansion provides the detailed information about what is 348/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/300 as a Decimal
348/300 = 1.16
Hence,
348/300 as a decimal equals to 1.16
where,
348/300 is a given fraction,
The decimal expansion of 348/300 is 1.16

348/300 as a Mixed Number
348/300 = (300 + 48)/300
= 300/300 + 48/300
= 1 + 48/300
= 1 48/300
348/300 = 1 48/300

Hence,
348/300 as a mixed number is 1 ⁴⁸/₃₀₀
where,
348/300 is a given fraction,
1 ⁴⁸/₃₀₀ is the mixed number representation of 348/300.

The below work with steps provide the detailed information about how to convert fraction 348/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/300.

step 2 The numerator is greater than the denominator of the fraction 348/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/300
= 300 + 48/300

step 3 Make the above expression as individual fractions:
= 300/300 + 48/300

step 4 Simplify the above expression:
= 1 x 300/300 + 48/300
= 1 + 48/300
= 1 + 4 x 12/25 x 12
= 1 + 4/25
1 + 4/25 can be written as a mixed number 1 ⁴/₂₅.


step 5 Find the decimal equivalent for the fractional part 4/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (4/25 x 4/4)
= 1 + 16/100

step 6 Simplify the above expression further:
= 1 + 0.16
= 1.16
348/300 = 1.16

Hence,
348/300 as a decimal is 1.16
348/300 as a mixed number is 1 ⁴/₂₅