344/264 as a Decimal and Mixed Number

344/264 as a decimal and mixed number expansion provides the detailed information about what is 344/264 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/264 as a Decimal
344/264 = 1.303
Hence,
344/264 as a decimal equals to 1.303
where,
344/264 is a given fraction,
The decimal expansion of 344/264 is 1.303

344/264 as a Mixed Number
344/264 = (264 + 80)/264
= 264/264 + 80/264
= 1 + 80/264
= 1 80/264
344/264 = 1 80/264

Hence,
344/264 as a mixed number is 1 ⁸⁰/₂₆₄
where,
344/264 is a given fraction,
1 ⁸⁰/₂₆₄ is the mixed number representation of 344/264.

The below work with steps provide the detailed information about how to convert fraction 344/264 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/264

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/264.

step 2 The numerator is greater than the denominator of the fraction 344/264, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/264
= 264 + 80/264

step 3 Make the above expression as individual fractions:
= 264/264 + 80/264

step 4 Simplify the above expression:
= 1 x 264/264 + 80/264
= 1 + 80/264
= 1 + 10 x 8/33 x 8
= 1 + 10/33
1 + 10/33 can be written as a mixed number 1 ¹⁰/₃₃.


step 5 Find the decimal equivalent for the fractional part 10/33 in the above expression:
= 1 + 0.303
= 1.303
344/264 = 1.303

Hence,
344/264 as a decimal is 1.303
344/264 as a mixed number is 1 ¹⁰/₃₃