264/74 as a Decimal and Mixed Number

264/74 as a decimal and mixed number expansion provides the detailed information about what is 264/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/74 as a Decimal
264/74 = 3.5676
Hence,
264/74 as a decimal equals to 3.5676
where,
264/74 is a given fraction,
The decimal expansion of 264/74 is 3.5676

264/74 as a Mixed Number
264/74 = (222 + 42)/74
= 222/74 + 42/74
= 3 + 42/74
= 3 42/74
264/74 = 3 42/74

Hence,
264/74 as a mixed number is 3 ⁴²/₇₄
where,
264/74 is a given fraction,
3 ⁴²/₇₄ is the mixed number representation of 264/74.

The below work with steps provide the detailed information about how to convert fraction 264/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/74.

step 2 The numerator is greater than the denominator of the fraction 264/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/74
= 222 + 42/74
= (3 x 74) + 42/74

step 3 Make the above expression as individual fractions:
= (3 x 74)/74 + 42/74

step 4 Simplify the above expression:
= 3 x 74/74 + 42/74
= 3 + 42/74
= 3 + 21 x 2/37 x 2
= 3 + 21/37
3 + 21/37 can be written as a mixed number 3 ²¹/₃₇.


step 5 Find the decimal equivalent for the fractional part 21/37 in the above expression:
= 3 + 0.5676
= 3.5676
264/74 = 3.5676

Hence,
264/74 as a decimal is 3.5676
264/74 as a mixed number is 3 ²¹/₃₇