242/32 as a Decimal and Mixed Number

242/32 as a decimal and mixed number expansion provides the detailed information about what is 242/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/32 as a Decimal
242/32 = 7.5625
Hence,
242/32 as a decimal equals to 7.5625
where,
242/32 is a given fraction,
The decimal expansion of 242/32 is 7.5625

242/32 as a Mixed Number
242/32 = (224 + 18)/32
= 224/32 + 18/32
= 7 + 18/32
= 7 18/32
242/32 = 7 18/32

Hence,
242/32 as a mixed number is 7 ¹⁸/₃₂
where,
242/32 is a given fraction,
7 ¹⁸/₃₂ is the mixed number representation of 242/32.

The below work with steps provide the detailed information about how to convert fraction 242/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/32.

step 2 The numerator is greater than the denominator of the fraction 242/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/32
= 224 + 18/32
= (7 x 32) + 18/32

step 3 Make the above expression as individual fractions:
= (7 x 32)/32 + 18/32

step 4 Simplify the above expression:
= 7 x 32/32 + 18/32
= 7 + 18/32
= 7 + 9 x 2/16 x 2
= 7 + 9/16
7 + 9/16 can be written as a mixed number 7 ⁹/₁₆.


step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 7 + (9/16 x 625/625)
= 7 + 5625/10000

step 6 Simplify the above expression further:
= 7 + 0.5625
= 7.5625
242/32 = 7.5625

Hence,
242/32 as a decimal is 7.5625
242/32 as a mixed number is 7 ⁹/₁₆