340/32 as a Decimal and Mixed Number

340/32 as a decimal and mixed number expansion provides the detailed information about what is 340/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

340/32 as a Decimal
340/32 = 10.625
Hence,
340/32 as a decimal equals to 10.625
where,
340/32 is a given fraction,
The decimal expansion of 340/32 is 10.625

340/32 as a Mixed Number
340/32 = (320 + 20)/32
= 320/32 + 20/32
= 10 + 20/32
= 10 20/32
340/32 = 10 20/32

Hence,
340/32 as a mixed number is 10 ²⁰/₃₂
where,
340/32 is a given fraction,
10 ²⁰/₃₂ is the mixed number representation of 340/32.

The below work with steps provide the detailed information about how to convert fraction 340/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 340/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 340/32.

step 2 The numerator is greater than the denominator of the fraction 340/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 340/32
= 320 + 20/32
= (10 x 32) + 20/32

step 3 Make the above expression as individual fractions:
= (10 x 32)/32 + 20/32

step 4 Simplify the above expression:
= 10 x 32/32 + 20/32
= 10 + 20/32
= 10 + 5 x 4/8 x 4
= 10 + 5/8
10 + 5/8 can be written as a mixed number 10 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 10 + (5/8 x 125/125)
= 10 + 625/1000

step 6 Simplify the above expression further:
= 10 + 0.625
= 10.625
340/32 = 10.625

Hence,
340/32 as a decimal is 10.625
340/32 as a mixed number is 10 ⁵/₈