45/8 as a Decimal and Mixed Number
45/8 as a decimal and mixed number expansion provides the detailed information about what is 45/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
45/8 as a Decimal Expansion
45/8 = 5.625
Hence,
45/8 as a decimal equals to 5.625
where,
45/8 is a given fraction,
The decimal expansion of 45/8 is 5.625
45/8 as a Mixed Number
45/8 = (40 + 5)/8
= 40/8 + 5/8
= 5 + 5/8
= 5 5/8
45/8 = 5 5/8
Hence,
45/8 as a mixed number is 5 5/8
where,
45/8 is a given fraction,
5 5/8 is the mixed number representation of 45/8.
How-to: 45/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 45/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/8.
step 2 The numerator is greater than the denominator of the fraction 45/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/8
= 40 + 5/8
= (5 x 8) + 5/8
step 3 Make the above expression as individual fractions:
= (5 x 8)/8 + 5/8
step 4 Simplify the above expression:
= 5 x 8/8 + 5/8
= 5 + 5/8
5 + 5/8 can be written as a mixed number 5 5/8.
step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/8.
= 5 + (5/8 x 10/10)
step 6 Simplify the above expression further:
= 5 + (50/8 x 1/10)
= 5 + (48 + 2/8 x 1/10)
= 5 + [(48/8 + 2/8 ) x 1/10]
= 5 + [(6 + 2/8) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/8 in the above expression:
= 5 + [(6 + 2/8) x 1/10]
= 5 + [(6 + 0.25) x 1/10]
= 5 + (6.25 x 1/10)
= 5 + 6.25/10
= 5 + 0.625
step 8 Find the sum of above expression:
= 5 + 0.625
= 5.625
45/8 = 5.625
Hence,
45/8 as a decimal is 5.625
45/8 as a mixed number is 5 5/8