351/48 as a Decimal and Mixed Number

351/48 as a decimal and mixed number expansion provides the detailed information about what is 351/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

351/48 as a Decimal
351/48 = 7.3125
Hence,
351/48 as a decimal equals to 7.3125
where,
351/48 is a given fraction,
The decimal expansion of 351/48 is 7.3125

351/48 as a Mixed Number
351/48 = (336 + 15)/48
= 336/48 + 15/48
= 7 + 15/48
= 7 15/48
351/48 = 7 15/48

Hence,
351/48 as a mixed number is 7 ¹⁵/₄₈
where,
351/48 is a given fraction,
7 ¹⁵/₄₈ is the mixed number representation of 351/48.

The below work with steps provide the detailed information about how to convert fraction 351/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 351/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 351/48.

step 2 The numerator is greater than the denominator of the fraction 351/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 351/48
= 336 + 15/48
= (7 x 48) + 15/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 15/48

step 4 Simplify the above expression:
= 7 x 48/48 + 15/48
= 7 + 15/48
= 7 + 5 x 3/16 x 3
= 7 + 5/16
7 + 5/16 can be written as a mixed number 7 ⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 7 + (5/16 x 625/625)
= 7 + 3125/10000

step 6 Simplify the above expression further:
= 7 + 0.3125
= 7.3125
351/48 = 7.3125

Hence,
351/48 as a decimal is 7.3125
351/48 as a mixed number is 7 ⁵/₁₆