310/75 as a Decimal and Mixed Number
310/75 as a decimal and mixed number expansion provides the detailed information about what is 310/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
310/75 as a Decimal
310/75 = 4.1333
Hence,
310/75 as a decimal equals to 4.1333
where,
310/75 is a given fraction,
The decimal expansion of 310/75 is 4.1333
310/75 as a Mixed Number
310/75 = (300 + 10)/75
= 300/75 + 10/75
= 4 + 10/75
= 4 10/75
310/75 = 4 10/75
Hence,
310/75 as a mixed number is 4 10/75
where,
310/75 is a given fraction,
4 10/75 is the mixed number representation of 310/75.
How-to: 310/75 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 310/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/75.
step 2 The numerator is greater than the denominator of the fraction 310/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/75
= 300 + 10/75
= (4 x 75) + 10/75
step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 10/75
step 4 Simplify the above expression:
= 4 x 75/75 + 10/75
= 4 + 10/75
= 4 + 2 x 5/15 x 5
= 4 + 2/15
4 + 2/15 can be written as a mixed number 4 2/15.
step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
= 4 + 0.1333
= 4.1333
310/75 = 4.1333
Hence,
310/75 as a decimal is 4.1333
310/75 as a mixed number is 4 2/15