Scale Fraction Loads - Practice 2

Build a part of a load and compare it with the base amount.

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Watch the lesson | Try Fraction Dock: choose Scaling

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Build the base fraction in columns, then select the stated fraction of its rows. Multiply selected rows by loaded columns for the numerator. Multiply rows per whole by columns per whole for the denominator. Equivalent fraction names are valid. Zero copies selects nothing; one copy keeps the base amount; more than one copy enlarges a positive load.

Worked example

3/2 x 3/5 = 9/10. Each whole has two rows and five columns, or ten cells. Select three loaded columns and three rows across two equal frames: nine dotted cells. Check: one 3/5 load plus half of that load is 6/10 + 3/10 = 9/10. Do not use twenty as the denominator just because two frames are drawn.

Two same-sized whole frames each have two rows and five columns: ten equal cells per whole. Three columns are the base load in each frame. Three rows total are selected: two in the first frame and one in the second. Nine dotted cells make 9/10 of one whole. Diagonal marks show unselected base cells. Practice questions use different amounts. — Dots show selected base cells; diagonal lines mark the rest of the base load. Both wholes keep the same size. Example amounts differ from the questions.

Would you believe it?

Multiplication does not always make a positive amount bigger. Half a copy is smaller, one copy is unchanged, and one-and-a-half copies is larger. The number of copies, not the multiplication sign alone, decides the change.

OpenStax: multiplying fractions

Question 1 3/4 x 2/7 = ? 5/11 3/14 6/11

Question 2 4/3 x 3/5 = ? 4/5 7/8 12/8

Question 3 1 x 5/8 = ? 1 6/9 5/8

Question 4 2/3 of 4/7 selects __/21 of one whole. What numerator fills the blank? Answer

Question 5 A positive load is multiplied by 3/2. Compared with that base load, the result is: Always smaller than the base load Exactly the same amount Larger than the base load

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