270/144 as a Decimal and Mixed Number

270/144 as a decimal and mixed number expansion provides the detailed information about what is 270/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/144 as a Decimal
270/144 = 1.875
Hence,
270/144 as a decimal equals to 1.875
where,
270/144 is a given fraction,
The decimal expansion of 270/144 is 1.875

270/144 as a Mixed Number
270/144 = (144 + 126)/144
= 144/144 + 126/144
= 1 + 126/144
= 1 126/144
270/144 = 1 126/144

Hence,
270/144 as a mixed number is 1 ¹²⁶/₁₄₄
where,
270/144 is a given fraction,
1 ¹²⁶/₁₄₄ is the mixed number representation of 270/144.

The below work with steps provide the detailed information about how to convert fraction 270/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/144.

step 2 The numerator is greater than the denominator of the fraction 270/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/144
= 144 + 126/144

step 3 Make the above expression as individual fractions:
= 144/144 + 126/144

step 4 Simplify the above expression:
= 1 x 144/144 + 126/144
= 1 + 126/144
= 1 + 7 x 18/8 x 18
= 1 + 7/8
1 + 7/8 can be written as a mixed number 1 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (7/8 x 125/125)
= 1 + 875/1000

step 6 Simplify the above expression further:
= 1 + 0.875
= 1.875
270/144 = 1.875

Hence,
270/144 as a decimal is 1.875
270/144 as a mixed number is 1 ⁷/₈