318/75 as a Decimal and Mixed Number
318/75 as a decimal and mixed number expansion provides the detailed information about what is 318/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
318/75 as a Decimal
318/75 = 4.24
Hence,
318/75 as a decimal equals to 4.24
where,
318/75 is a given fraction,
The decimal expansion of 318/75 is 4.24
318/75 as a Mixed Number
318/75 = (300 + 18)/75
= 300/75 + 18/75
= 4 + 18/75
= 4 18/75
318/75 = 4 18/75
Hence,
318/75 as a mixed number is 4 18/75
where,
318/75 is a given fraction,
4 18/75 is the mixed number representation of 318/75.
How-to: 318/75 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 318/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/75.
step 2 The numerator is greater than the denominator of the fraction 318/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/75
= 300 + 18/75
= (4 x 75) + 18/75
step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 18/75
step 4 Simplify the above expression:
= 4 x 75/75 + 18/75
= 4 + 18/75
= 4 + 6 x 3/25 x 3
= 4 + 6/25
4 + 6/25 can be written as a mixed number 4 6/25.
step 5 Find the decimal equivalent for the fractional part 6/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 4 + (6/25 x 4/4)
= 4 + 24/100
step 6 Simplify the above expression further:
= 4 + 0.24
= 4.24
318/75 = 4.24
Hence,
318/75 as a decimal is 4.24
318/75 as a mixed number is 4 6/25