41/16 as a Decimal and Mixed Number
41/16 as a decimal and mixed number expansion provides the detailed information about what is 41/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
41/16 as a Decimal Expansion
41/16 = 2.5625
Hence,
41/16 as a decimal equals to 2.5625
where,
41/16 is a given fraction,
The decimal expansion of 41/16 is 2.5625
41/16 as a Mixed Number
41/16 = (32 + 9)/16
= 32/16 + 9/16
= 2 + 9/16
= 2 9/16
41/16 = 2 9/16
Hence,
41/16 as a mixed number is 2 9/16
where,
41/16 is a given fraction,
2 9/16 is the mixed number representation of 41/16.
How-to: 41/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 41/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 41/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 41/16.
step 2 The numerator is greater than the denominator of the fraction 41/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 41/16
= 32 + 9/16
= (2 x 16) + 9/16
step 3 Make the above expression as individual fractions:
= (2 x 16)/16 + 9/16
step 4 Simplify the above expression:
= 2 x 16/16 + 9/16
= 2 + 9/16
2 + 9/16 can be written as a mixed number 2 9/16.
step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/16.
= 2 + (9/16 x 100/100)
step 6 Simplify the above expression further:
= 2 + (900/16 x 1/100)
= 2 + (896 + 4/16 x 1/100)
= 2 + [(896/16 + 4/16 ) x 1/100]
= 2 + [(56 + 4/16) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/16 in the above expression:
= 2 + [(56 + 4/16) x 1/100]
= 2 + [(56 + 0.25) x 1/100]
= 2 + (56.25 x 1/100)
= 2 + 56.25/100
= 2 + 0.5625
step 8 Find the sum of above expression:
= 2 + 0.5625
= 2.5625
41/16 = 2.5625
Hence,
41/16 as a decimal is 2.5625
41/16 as a mixed number is 2 9/16