Unit fractions, which have a numerator of 1, can be divided by whole numbers to create smaller equal shares. In this case, dividing 1/6 liter of colored water by 2 means pouring it equally into 2 tubes. This involves taking the 1/6 and partitioning it further into 2 equal smaller parts. Visually, imagine a liter divided into 6 equal sixths, then split one sixth into 2 equal halves, each being 1/12 of the liter. A common misconception is that each tube gets 1/3 or more, but dividing results in smaller amounts. In general, dividing a unit fraction by a whole number makes the shares smaller, with the denominator becoming the product of the original and the divisor. Thus, the quotient 1/6 ÷ 2 represents each tube getting 1/12 liter, which is choice A.

Unit fractions, which are fractions with a numerator of 1, can be divided by whole numbers to find smaller equal shares. In this scenario, a 1/2 meter ribbon is being cut into 4 equal shorter pieces, which means dividing the fraction by 4. To do this, the 1/2 meter is partitioned into 4 equal smaller parts, resulting in each piece being 1/8 meter long. Visually, if you draw a 1-meter line divided into 2 equal halves and take one half, then split it into 4 equal segments, each segment is 1/8 of the whole meter. A common misconception is that dividing 1/2 by 4 gives 2, but that confuses division with multiplication and ignores the partitioning. Generally, dividing a unit fraction by a whole number makes the pieces smaller, as you're splitting an already small amount into more parts. The larger the divisor, the smaller each share becomes, so 1/2 ÷ 4 = 1/8, which is one-fourth the size of 1/2.

Unit fractions, which are fractions with a numerator of 1, can be divided by whole numbers to find smaller equal shares. In this scenario, a coach is sharing 1/3 of a jug of sports drink equally among 2 players on Monday and among 4 on Tuesday, using different divisors. To do this, on Monday the 1/3 is partitioned into 2 equal parts giving 1/6 each, and on Tuesday into 4 equal parts giving 1/12 each. Visually, for Monday, divide the jug into 6 parts and give one per player; for Tuesday, into 12 parts and give one per player, showing smaller shares with more people. A common misconception is that a larger divisor makes bigger pieces, but actually, it makes them smaller. Generally, dividing a unit fraction by a whole number makes the pieces smaller, as you're splitting an already small amount into more parts. The larger the divisor, the smaller each share becomes, so players get more on Monday since 1/3 ÷ 2 = 1/6 is larger than 1/3 ÷ 4 = 1/12.

Unit fractions, which are fractions with a numerator of 1, can be divided by whole numbers to find smaller equal shares. In this scenario, a science team is pouring 1/2 liter of water equally into 2 containers, which means dividing the fraction by 2. To do this, the 1/2 liter is partitioned into 2 equal smaller parts, resulting in each container getting 1/4 liter. Visually, if you imagine a 1-liter bottle half full, then pour it into 2 containers equally, each gets an amount equal to 1/4 of the whole liter. A common misconception is that dividing by 2 doubles the amount to 1 liter, but actually, it splits the existing fraction into smaller shares. Generally, dividing a unit fraction by a whole number makes the pieces smaller, as you're splitting an already small amount into more parts. The larger the divisor, the smaller each share becomes, so 1/2 ÷ 2 = 1/4, which is half the size of 1/2.

Unit fractions, which are fractions with a numerator of 1, can be divided by whole numbers to find smaller equal shares. In this scenario, a baker is cutting 1/3 of a loaf into 2 equal parts for sandwiches, which means dividing the fraction by 2. To do this, the 1/3 piece is partitioned into 2 equal smaller pieces, resulting in each sandwich getting 1/6 of the loaf. Visually, splitting the whole loaf into 6 equal parts matches the model where each sandwich gets one of those parts, since 1/3 equals 2/6 and dividing by 2 gives 1/6 each. A common misconception is that you split the whole into 3 parts and give one to each, but that would not account for starting with only 1/3. Generally, dividing a unit fraction by a whole number makes the pieces smaller, as you're splitting an already small amount into more parts. The larger the divisor, the smaller each share becomes, so 1/3 ÷ 2 = 1/6, which is half the size of 1/3.

Unit fractions, which are fractions with a numerator of 1, can be divided by whole numbers to find smaller equal shares. In this scenario, the teacher is sharing 1/4 of a pan of brownies equally among 2 students, which means dividing the fraction by 2. To do this, the 1/4 piece is partitioned into 2 equal smaller pieces, resulting in each student getting 1/8 of the pan. Visually, if you draw a pan divided into 4 equal parts and shade one, then split that shaded part into 2 equal halves, each small part is 1/8 of the whole pan. A common misconception is that dividing 1/4 by 2 gives 1/2, but that would only be true if starting with a whole pan instead of a fraction. Generally, dividing a unit fraction by a whole number makes the pieces smaller, as you're splitting an already small amount into more parts. The larger the divisor, the smaller each share becomes, so 1/4 ÷ 2 = 1/8, which is half the size of 1/4.

Unit fractions, which have a numerator of 1, can be divided by whole numbers to create smaller equal shares. In this situation, dividing 1/5 of a pan of brownies by 2 means sharing that fifth equally among 2 friends. This involves taking the 1/5 and partitioning it further into 2 equal smaller parts. Visually, imagine the pan divided into 5 equal fifths, then split one fifth into 2 equal halves, each representing 1/10 of the pan. A common misconception is believing each friend gets 2/5, but dividing results in smaller shares, not larger ones. In general, dividing a unit fraction by a whole number decreases the size of each share, creating a new fraction with a larger denominator. Thus, the incorrect claim is that each friend gets 2/5 of the whole pan, which is choice C.

Unit fractions, which have a numerator of 1, can be divided by whole numbers to create smaller equal shares. In this example, dividing $\tfrac{1}{3}$ cup of beads by 2 means splitting that third equally into 2 bags. This involves taking the $\tfrac{1}{3}$ and partitioning it further into 2 equal smaller parts. Visually, think of a cup divided into 3 equal thirds, then split one third into 2 equal halves, each being $\tfrac{1}{6}$ of the cup. A common misconception is that the result is $\tfrac{2}{3}$, but dividing makes each share smaller than the original fraction. In general, dividing a unit fraction by a whole number leads to smaller fractions, with the new denominator as the product of the original and the divisor. Thus, $\tfrac{1}{3} \div 2$ equals $\tfrac{1}{6}$ cup, which is choice B.

Unit fractions, which have a numerator of 1, can be divided by whole numbers to create smaller equal shares. Here, dividing $\tfrac{1}{3}$ meter of ribbon by 4 means cutting that third into 4 equal pieces. This involves taking the $\tfrac{1}{3}$ and partitioning it further into 4 equal smaller parts. Visually, picture a meter divided into 3 equal thirds, then split one third into 4 equal segments, each being $\tfrac{1}{12}$ of the meter. A common misconception is that the result would be larger like $\tfrac{4}{3}$, but dividing actually yields smaller pieces. In general, dividing a unit fraction by a whole number makes the fraction smaller, with the new denominator being the original multiplied by the divisor. Therefore, $\tfrac{1}{3} \div 4$ equals $\tfrac{1}{12}$ meter, which is choice B.

Unit fractions, which have a numerator of 1, can be divided by whole numbers to find smaller equal shares. Sharing ($\frac{1}{4}$) of a cake among 2 kids gives ($\frac{1}{8}$) each, while among 4 kids gives ($\frac{1}{16}$) each. This partitioning shows the ($\frac{1}{4}$) divided into more parts for more kids, making shares smaller. Visualizing the cake quartered, then one quarter subdivided into 2 or 4 pieces, highlights the size difference. A misconception is that more kids mean larger shares, but actually, it means smaller ones. Generally, larger divisors make the resulting fraction smaller. This illustrates how division scales down unit fractions proportionally.