Multiplying Fractions by Fractions

[ggfrac]2/5[/ggfrac] x 3, [ggfrac]2/5[/ggfrac] + [ggfrac]2/5[/ggfrac] + [ggfrac]2/5[/ggfrac] = [ggfrac]6/5[/ggfrac] = 1[ggfrac]1/5[/ggfrac], [ggfrac]2/5[/ggfrac] x 3 = [ggfrac]6/5[/ggfrac] = 1[ggfrac]1/5[/ggfrac]

Divide a square into 3 equal parts and shade 2 of those parts. Make 6 copies of that square. Count the thirds. There are 12 thirds, or [ggfrac]12/3[/ggfrac]. [ggfrac]12/3[/ggfrac] = 4, so [ggfrac]2/3[/ggfrac] x 6 = 4.

Multiply the numerator of the fraction by the whole number to get the numerator of the answer, and keep the denominator the same as the denominator in the fraction.

No. She multiplied both the numerator and the denominator by 3. She should have only multiplied the numerator by 3. The answer should be [ggfrac]9/5[/ggfrac], or 1[ggfrac]4/5[/ggfrac].

No. Mike added 4 and [ggfrac]1/5[/ggfrac]. The answer should be [ggfrac]4/5[/ggfrac].

Divide a square into fifths horizontally. Shade two of the fifths blue. Divide the square into fourths vertically. Shade three of the fourths yellow. The part of the square that is green (both blue and yellow) is the answer. [ggfrac]2/5[/ggfrac] x [ggfrac]3/4[/ggfrac] = [ggfrac]6/20[/ggfrac]

No. I think Safa used the rule for the addition of fractions rather than the rule for the multiplication of fractions. The correct product is [ggfrac]2/9[/ggfrac].

Multiply the numerators to get the numerator of the answer. Multiply the denominators to get the denominator of the answer. Example: [ggfrac]3/7[/ggfrac] x [ggfrac]1/2[/ggfrac] = [ggfrac]3/14[/ggfrac]

Convert both mixed numbers to fractions greater than 1. Then multiply using the rule for multiplying two fractions: multiply the numerators to get the numerator of the answer, and multiply the denominators to get the denominator of the answer. Example: 1[ggfrac]1/2[/ggfrac] x 3[ggfrac]2/3[/ggfrac] = [ggfrac]3/2[/ggfrac] x [ggfrac]11/3[/ggfrac] = [ggfrac]33/6[/ggfrac] = 5[ggfrac]3/6[/ggfrac] = 5[ggfrac]1/2[/ggfrac]

To multiply a fraction by a fraction we need to multiply the numerators and multiply the denominators. When one number is a whole number, we do not need to multiply the denominators. This is because a whole number has a denominator of 1.