5N6.1.2 分數除法:包含 Fraction Division (Quotative)

a ÷ b

中文版:http://www.geogebratube.org/material/show/id/14538 (Download GeoGebra file)

(a) 12 個方格需要下列各紙條多少張才能鋪滿?
  (i) 3 格長紙條  (ii) 4 格長紙條 (iii) 5 格長紙條
(b) 10 個方格需要多少張 4 格長的紙條才能鋪滿?
(c) 5 個方格需要多少張 3 格長的紙條才能鋪滿?
(d) 3 個方格需要多少張 5 格長的紙條才能鋪滿?
(e) 2 個方格需要多少張 4 格長的紙條才能鋪滿?
(f) 1 個方格需要多少張 3 格長的紙條才能鋪滿?
一般來說,你會如何計算 a ÷ b?

x ÷ a/b

中文版 http://www.geogebratube.org/material/show/id/14537 (Download GeoGebra file)

(a) 1 個方格需要下列各紙條多少張才能鋪滿?
  (i) 1/2 格長紙條  (ii) 1/3 格長紙條 (iii) 1/4 格長紙條 (iv) 1/5 格長紙條

(b) 1 個方格需要下列各紙條多少張才能鋪滿?:
  (i) 2/5 格長紙條  (ii) 3/5 格長紙條  (iii) 4/5 格長紙條  (iv) 1/5 格長紙條
(c) 1 個方格需要下列各紙條多少張才能鋪滿?:
  (i) 1+1/3 格長紙條  (ii)1+2/5 格長紙條  (iii) 1+3/4 格長紙條
(d) 下列各方格需要多少張 2/3 格長的紙條才能鋪滿?
  (i) 1 格 (ii) 2 格 (iii) 4/5 格 (iv) 1+1/3 格
一般來說,你會如何計算 x ÷ a/b?  

 

a ÷ b

English Version :http://www.geogebratube.org/material/show/id/14542 (Download GeoGebra file)

(a) How many groups are there if 12 is divided into groups of:
  (i) 3;  (ii) 4; (iii) 5?
(b) How many groups are there if 10 is divided into groups of 4?
(c) How many groups are there if 5 is divided into groups of 3?
(d) How many groups are there if 3 is divided into groups of 5?
(e) How many groups are there if 2 is divided into groups of 4?
(f) How many groups are there if 1 is divided into groups of 3?
In general, how would you calculate a ÷ b ?


x ÷ a/b

http://www.geogebratube.org/material/show/id/14541(Download GeoGebra file)

(a) How many groups are there if 1 is divided into groups of:
  (i) 1/2;  (ii) 1/3; (iii) 1/4; (iv) 1/5?
(b) How many groups are there if 1 is divided into groups of:
  (i) 2/5;  (ii) 3/5; (iii) 4/5; (iv) 1/5?
(c) How many groups are there if 1 is divided into groups of:
  (i) 1+1/3;  (ii)1+2/5; (iii) 1+3/4?
(d) How many groups are there if each of the following numbers is divided into groups of 2/3?
  (i) 1  (ii) 2 (iii) 4/5 (iv) 1+1/3
In general, how would you calculate x ÷ a/b?