276/42 as a decimal and mixed number expansion provides the detailed information about what is 276/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
276/42 as a Decimal
276/42 = 6.5714
Hence,
276/42 as a decimal equals to 6.5714
where,
276/42 is a given fraction,
The decimal expansion of 276/42 is 6.5714
276/42 as a Mixed Number
276/42 = (252 + 24)/42
= 252/42 + 24/42
= 6 + 24/42
= 6 24/42
276/42 = 6 24/42
Hence,
276/42 as a mixed number is 6 24/42
where,
276/42 is a given fraction,
6 24/42 is the mixed number representation of 276/42.
The below work with steps provide the detailed information about how to convert fraction 276/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 276/42
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 276/42.
step 2 The numerator is greater than the denominator of the fraction 276/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 276/42
= 252 + 24/42
= (6 x 42) + 24/42
step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 24/42
step 4 Simplify the above expression:
= 6 x 42/42 + 24/42
= 6 + 24/42
= 6 + 4 x 6/7 x 6
= 6 + 4/7
6 + 4/7 can be written as a mixed number 6 4/7.
step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 6 + 0.5714
= 6.5714
276/42 = 6.5714
Hence,
276/42 as a decimal is 6.5714
276/42 as a mixed number is 6 4/7