2/3 * 7/3 = __
First divide the numerator 14 by 9. 9 goes into 14 one time, with a remainder of 5, so you should write out your reduced fraction out as: 1 5/9 (“one and five ninths”). Stop there, you have found your answer! You can determine that you cannot reduce the fraction further because the denominator is not evenly divisible by the numerator (9 cannot be divided evenly by 5) and the numerator is a prime number, or an integer that can only be divisible by one and itself. [9] X Research source
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
First divide the numerator by the denominator, (24/10 = 2 remainder 4). Write the answer out as 2 4/10. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. We end up with 2/5. Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. Our answer is thus: 2 2/5.
Try thinking about this same equation in terms of cups of water: How many half cups of water are in 2 cups of water? You could pour 2 half cups of water into each cup of water which means you are basically adding them, and you have two cups: 2 halves/1 cup * 2 cups = 4 halves. All of this means that when the fraction you are dividing by is between 0 and 1, the answer will always be larger than the original number! This is true whether you are dividing whole numbers or fractions by a fraction.
Try thinking about this same equation in terms of cups of water: How many half cups of water are in 2 cups of water? You could pour 2 half cups of water into each cup of water which means you are basically adding them, and you have two cups: 2 halves/1 cup * 2 cups = 4 halves. All of this means that when the fraction you are dividing by is between 0 and 1, the answer will always be larger than the original number! This is true whether you are dividing whole numbers or fractions by a fraction.
The reciprocal of 3/4 is 4/3. The reciprocal of 7/5 is 5/7. The reciprocal of 1/2 is 2/1, or 2.
Leave the first fraction in the equation alone. Turn the division sign into a multiplication sign. Flip the second fraction over (find its reciprocal). [16] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. Multiply the numerators (top numbers) of the two fractions together. This result will be the numerator (top portion) of your answer. [17] X Research source [18] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. Multiply the denominators (bottom numbers) of the two fractions together. The result will be the denominator of your answer. [19] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. Simplify your fraction by reducing it to the simplest terms.
1/3 ÷ 2/5 = becomes: 1/3 * __ = Now we flip the second fraction (2/5) over to find its reciprocal, 5/2:[20] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. 1/3 * 5/2 = Now multiply the numerators (top numbers) of the two fractions, 15 = 5. [21] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. 1/3 * 5/2 = 5/ Now multiply the denominators (bottom numbers) of the two fractions, 32 = 6. [22] X Expert Source David JiaAcademic Tutor Expert Interview. 7 January 2021. We now have: 1/3 * 5/2 = 5/6 This particular fraction cannot be simplified further, so we have our answer.
Another helpful saying that tells you what to do with each part of the equation is: “Leave Me (the first fraction), Change Me (the division symbol), Turn Me Over (the second fraction). ”
