What is 3/5:2/3 lowest terms simplify
To simplify the fraction 3/5:2/3 in the lowest terms, we need to find a common denominator for both fractions.
The common denominator can be found by finding the least common multiple (LCM) of the denominators, which is 15 in this case.
Then, we can rewrite the fractions with the common denominator:
3/5 = (3/5) * (3/3) = 9/15
2/3 = (2/3) * (5/5) = 10/15
Now, the fraction 3/5:2/3 can be expressed as 9/15:10/15.
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
9/15 ÷ 10/15 = 9/15 * 15/10
Simplifying, we get:
9/10
Therefore, 3/5:2/3 simplifies to 9/10 in the lowest terms.
To simplify the fraction 3/5 ÷ 2/3, follow these steps:
Step 1: Convert the division operation into multiplication by taking the reciprocal of the second fraction.
3/5 ÷ 2/3 = 3/5 × 3/2
Step 2: Multiply the numerators (the numbers on top) together and the denominators (the numbers on the bottom) together.
3 × 3 = 9
5 × 2 = 10
Step 3: Simplify the resulting fraction if possible.
The fraction 9/10 is already in its simplest form, so it cannot be simplified further.
Therefore, 3/5 ÷ 2/3 in its lowest terms is 9/10.
To simplify the fraction 3/5 : 2/3 to its lowest terms, you can follow these steps:
Step 1: Find the least common denominator (LCD) of the two fractions, which is the smallest number that both 5 and 3 can divide into evenly. In this case, the LCD is 15 because 5 and 3 are both factors of 15.
Step 2: Convert the fractions so that they have the same denominator. To do this, multiply the numerator and denominator of each fraction by the same number that would make the denominator equal to the LCD.
For the fraction 3/5, since the denominator is 5 and the LCD is 15, you would multiply the numerator and denominator by 3:
3/5 * 3/3 = 9/15.
For the fraction 2/3, since the denominator is 3 and the LCD is 15, you would multiply the numerator and denominator by 5:
2/3 * 5/5 = 10/15.
Step 3: Now that both fractions have the same denominator of 15, you can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is the largest number that divides evenly into both numbers. In this case, the GCD of 9 and 15 is 3, and the GCD of 10 and 15 is 5.
For the fraction 9/15, divide both the numerator and denominator by 3:
9/3 ÷ 15/3 = 3/5.
For the fraction 10/15, divide both the numerator and denominator by 5:
10/5 ÷ 15/5 = 2/3.
So, the simplified form of the fraction 3/5 : 2/3 is 3/5 : 2/3 = 3/5 ÷ 2/3 = 2/3.