51/8 as a Decimal and Mixed Number
51/8 as a decimal and mixed number expansion provides the detailed information about what is 51/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
51/8 as a Decimal Expansion
51/8 = 6.375
Hence,
51/8 as a decimal equals to 6.375
where,
51/8 is a given fraction,
The decimal expansion of 51/8 is 6.375
51/8 as a Mixed Number
51/8 = (48 + 3)/8
= 48/8 + 3/8
= 6 + 3/8
= 6 3/8
51/8 = 6 3/8
Hence,
51/8 as a mixed number is 6 3/8
where,
51/8 is a given fraction,
6 3/8 is the mixed number representation of 51/8.
How-to: 51/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 51/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 51/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 51/8.
step 2 The numerator is greater than the denominator of the fraction 51/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 51/8
= 48 + 3/8
= (6 x 8) + 3/8
step 3 Make the above expression as individual fractions:
= (6 x 8)/8 + 3/8
step 4 Simplify the above expression:
= 6 x 8/8 + 3/8
= 6 + 3/8
6 + 3/8 can be written as a mixed number 6 3/8.
step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/8.
= 6 + (3/8 x 10/10)
step 6 Simplify the above expression further:
= 6 + (30/8 x 1/10)
= 6 + (24 + 6/8 x 1/10)
= 6 + [(24/8 + 6/8 ) x 1/10]
= 6 + [(3 + 6/8) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/8 in the above expression:
= 6 + [(3 + 6/8) x 1/10]
= 6 + [(3 + 0.75) x 1/10]
= 6 + (3.75 x 1/10)
= 6 + 3.75/10
= 6 + 0.375
step 8 Find the sum of above expression:
= 6 + 0.375
= 6.375
51/8 = 6.375
Hence,
51/8 as a decimal is 6.375
51/8 as a mixed number is 6 3/8