42/24 as a decimal and mixed number expansion provides the detailed information about what is 42/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
42/24 as a Decimal
42/24 = 1.75
Hence,
42/24 as a decimal equals to 1.75
where,
42/24 is a given fraction,
The decimal expansion of 42/24 is 1.75
42/24 as a Mixed Number
42/24 = (24 + 18)/24
= 24/24 + 18/24
= 1 + 18/24
= 1 18/24
42/24 = 1 18/24
Hence,
42/24 as a mixed number is 1 18/24
where,
42/24 is a given fraction,
1 18/24 is the mixed number representation of 42/24.
The below work with steps provide the detailed information about how to convert fraction 42/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 42/24.
step 2 The numerator is greater than the denominator of the fraction 42/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 42/24
= 24 + 18/24
step 3 Make the above expression as individual fractions:
= 24/24 + 18/24
step 4 Simplify the above expression:
= 1 x 24/24 + 18/24
= 1 + 18/24
= 1 + 3 x 6/4 x 6
= 1 + 3/4
1 + 3/4 can be written as a mixed number 1 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (3/4 x 25/25)
= 1 + 75/100
step 6 Simplify the above expression further:
= 1 + 0.75
= 1.75
42/24 = 1.75
Hence,
42/24 as a decimal is 1.75
42/24 as a mixed number is 1 3/4