55/16 as a Decimal and Mixed Number
55/16 as a decimal and mixed number expansion provides the detailed information about what is 55/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
55/16 as a Decimal Expansion
55/16 = 3.4375
Hence,
55/16 as a decimal equals to 3.4375
where,
55/16 is a given fraction,
The decimal expansion of 55/16 is 3.4375
55/16 as a Mixed Number
55/16 = (48 + 7)/16
= 48/16 + 7/16
= 3 + 7/16
= 3 7/16
55/16 = 3 7/16
Hence,
55/16 as a mixed number is 3 7/16
where,
55/16 is a given fraction,
3 7/16 is the mixed number representation of 55/16.
How-to: 55/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 55/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 55/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 55/16.
step 2 The numerator is greater than the denominator of the fraction 55/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 55/16
= 48 + 7/16
= (3 x 16) + 7/16
step 3 Make the above expression as individual fractions:
= (3 x 16)/16 + 7/16
step 4 Simplify the above expression:
= 3 x 16/16 + 7/16
= 3 + 7/16
3 + 7/16 can be written as a mixed number 3 7/16.
step 5 Find the decimal equivalent for the fractional part 7/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/16.
= 3 + (7/16 x 100/100)
step 6 Simplify the above expression further:
= 3 + (700/16 x 1/100)
= 3 + (688 + 12/16 x 1/100)
= 3 + [(688/16 + 12/16 ) x 1/100]
= 3 + [(43 + 12/16) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/16 in the above expression:
= 3 + [(43 + 12/16) x 1/100]
= 3 + [(43 + 0.75) x 1/100]
= 3 + (43.75 x 1/100)
= 3 + 43.75/100
= 3 + 0.4375
step 8 Find the sum of above expression:
= 3 + 0.4375
= 3.4375
55/16 = 3.4375
Hence,
55/16 as a decimal is 3.4375
55/16 as a mixed number is 3 7/16