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$Simplify the following fraction: (40)/(90) Answer:$

Simplify the following fraction: $\frac{40}{90}$ $\newline$ Answer:

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Simplify variable expressions using properties

Full solution

Q. Simplify the following fraction:

\frac{40}{90}

\newline

Answer:

Find GCD: To simplify the fraction $(40)/(90)$ , we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number. $\newline$ First, let's find the GCD of $40$ and $90$ . The factors of $40$ are $1$ , $2$ , $4$ , $5$ , $8$ , $10$ , $20$ , and $40$ . The factors of $90$ are $1$ , $2$ , $3$ , $5$ , $6$ , $9$ , $10$ , $15$ , $18$ , $30$ , $45$ , and $90$ . The largest common factor is $10$ .
Divide by GCD: Now, we divide both the numerator and the denominator by the GCD, which is $10$ . $\newline$ Numerator: $40 \div 10 = 4$ $\newline$ Denominator: $90 \div 10 = 9$ $\newline$ So, $(40)/(90)$ simplifies to $(4)/(9)$ .

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