264/224 as a Decimal and Mixed Number

264/224 as a decimal and mixed number expansion provides the detailed information about what is 264/224 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/224 as a Decimal
264/224 = 1.1786
Hence,
264/224 as a decimal equals to 1.1786
where,
264/224 is a given fraction,
The decimal expansion of 264/224 is 1.1786

264/224 as a Mixed Number
264/224 = (224 + 40)/224
= 224/224 + 40/224
= 1 + 40/224
= 1 40/224
264/224 = 1 40/224

Hence,
264/224 as a mixed number is 1 ⁴⁰/₂₂₄
where,
264/224 is a given fraction,
1 ⁴⁰/₂₂₄ is the mixed number representation of 264/224.

The below work with steps provide the detailed information about how to convert fraction 264/224 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/224

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/224.

step 2 The numerator is greater than the denominator of the fraction 264/224, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/224
= 224 + 40/224

step 3 Make the above expression as individual fractions:
= 224/224 + 40/224

step 4 Simplify the above expression:
= 1 x 224/224 + 40/224
= 1 + 40/224
= 1 + 5 x 8/28 x 8
= 1 + 5/28
1 + 5/28 can be written as a mixed number 1 ⁵/₂₈.


step 5 Find the decimal equivalent for the fractional part 5/28 in the above expression:
= 1 + 0.1786
= 1.1786
264/224 = 1.1786

Hence,
264/224 as a decimal is 1.1786
264/224 as a mixed number is 1 ⁵/₂₈