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How to use the shaded part of to represent the fractional multiplication formula?
Take "three-quarters times one-half" as an example, and use the shaded part of the picture to represent fractional multiplication, as follows:

1. Take the area of a complete rectangle as the unit "1":

2. Divide this rectangle into four small rectangles on average, and then merge the three small rectangles on the left into a rectangle, which is represented by a shadow, so that the area of the shadow part is three-quarters of the original rectangular area:

3. Divide the shadow part evenly along the middle horizontal line, and the area of overlapping shadow part is half of the shadow area in step 2 and three-eighths of the original rectangular area, that is, three-quarters times one-half equals three-eighths:

Extended data

An object, a figure and a unit of measurement can all be regarded as the unit "1". Divide the unit "1" into several parts on average, and the number representing such a part or parts is called a fraction. In the fraction, the denominator indicates how many shares the unit "1" is divided into, and the numerator indicates how many shares there are; One of them is called fractional unit.

Fractions can be expressed as a division formula: for example, three quarters equals three divided by four. Where 3 numerator equals dividend,-fractional line equals divisor and 4 denominator equals divisor.

Scores can also be expressed as ratios, for example; Three quarters is equal to 3: 4, in which three molecules are equal to the former term, the fractional line is equal to the comparison number, and the denominator of 4 is equal to the latter term.

Fraction times fraction, numerator times numerator, denominator times denominator.

References:

Baidu Encyclopedia _ Score (Mathematical Term)