37/16 as a Decimal and Mixed Number
37/16 as a decimal and mixed number expansion provides the detailed information about what is 37/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
37/16 as a Decimal Expansion
37/16 = 2.3125
Hence,
37/16 as a decimal equals to 2.3125
where,
37/16 is a given fraction,
The decimal expansion of 37/16 is 2.3125
37/16 as a Mixed Number
37/16 = (32 + 5)/16
= 32/16 + 5/16
= 2 + 5/16
= 2 5/16
37/16 = 2 5/16
Hence,
37/16 as a mixed number is 2 5/16
where,
37/16 is a given fraction,
2 5/16 is the mixed number representation of 37/16.
How-to: 37/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 37/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/16.
step 2 The numerator is greater than the denominator of the fraction 37/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/16
= 32 + 5/16
= (2 x 16) + 5/16
step 3 Make the above expression as individual fractions:
= (2 x 16)/16 + 5/16
step 4 Simplify the above expression:
= 2 x 16/16 + 5/16
= 2 + 5/16
2 + 5/16 can be written as a mixed number 2 5/16.
step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/16.
= 2 + (5/16 x 100/100)
step 6 Simplify the above expression further:
= 2 + (500/16 x 1/100)
= 2 + (496 + 4/16 x 1/100)
= 2 + [(496/16 + 4/16 ) x 1/100]
= 2 + [(31 + 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 + [(31 + 4/16) x 1/100]
= 2 + [(31 + 0.25) x 1/100]
= 2 + (31.25 x 1/100)
= 2 + 31.25/100
= 2 + 0.3125
step 8 Find the sum of above expression:
= 2 + 0.3125
= 2.3125
37/16 = 2.3125
Hence,
37/16 as a decimal is 2.3125
37/16 as a mixed number is 2 5/16