Answer :
We start with the decimal number:
[tex]$$157.43$$[/tex]
Step 1: Identify the integer part.
The integer part here is [tex]$$157.$$[/tex]
Step 2: Identify the fractional part.
The fractional part is [tex]$$0.43.$$[/tex] This can be written as a fraction by noting that:
[tex]$$0.43 = \frac{43}{100}.$$[/tex]
Step 3: Simplify the fraction.
We now reduce the fraction [tex]$$\frac{43}{100}$$[/tex] to its lowest terms. To do this, we find the greatest common divisor (gcd) of the numerator and denominator. We check:
[tex]$$\gcd(43, 100) = 1.$$[/tex]
Since the gcd is [tex]$$1,$$[/tex] the fraction is already in simplest form.
Step 4: Write the mixed number.
The mixed number is obtained by combining the integer part and the simplified fraction:
[tex]$$157\frac{43}{100}.$$[/tex]
Thus, the final answer is:
[tex]$$\boxed{157\frac{43}{100}}.$$[/tex]
[tex]$$157.43$$[/tex]
Step 1: Identify the integer part.
The integer part here is [tex]$$157.$$[/tex]
Step 2: Identify the fractional part.
The fractional part is [tex]$$0.43.$$[/tex] This can be written as a fraction by noting that:
[tex]$$0.43 = \frac{43}{100}.$$[/tex]
Step 3: Simplify the fraction.
We now reduce the fraction [tex]$$\frac{43}{100}$$[/tex] to its lowest terms. To do this, we find the greatest common divisor (gcd) of the numerator and denominator. We check:
[tex]$$\gcd(43, 100) = 1.$$[/tex]
Since the gcd is [tex]$$1,$$[/tex] the fraction is already in simplest form.
Step 4: Write the mixed number.
The mixed number is obtained by combining the integer part and the simplified fraction:
[tex]$$157\frac{43}{100}.$$[/tex]
Thus, the final answer is:
[tex]$$\boxed{157\frac{43}{100}}.$$[/tex]
