Question

d199b
(some fractions can be reduced by 19.)
(15) \\(\frac{19}{38}=\\) (22) \\(\frac{14}{42}=\\)
(16) \\(\frac{19}{57}=\\) (23) \\(\frac{32}{56}=\\)
(17) \\(\frac{38}{57}=\\) (24) \\(\frac{12}{60}=\\)
(18) \\(\frac{19}{76}=\\) (25) \\(\frac{15}{75}=\\)
(19) \\(\frac{38}{76}=\\) (26) \\(\frac{20}{80}=\\)
(20) \\(\frac{57}{76}=\\) (27) \\(\frac{38}{95}=\\)
(21) \\(\frac{19}{95}=\\) (28) \\(\frac{57}{95}=\\)

d200a
reduction 4
kumon
◆ fill in the blanks with the appropriate numbers.
1.
(1) \\(12 \div 3 = \square\\)
(2) \\(12 \div 4 = \square\\)
(3) \\(12 \div 5 = \square\\) r \\(\square\\)
(4) \\(12 \div 6 = \square\\)
(5) 12 can be exactly divided by 3,
12 can also be divided by 4 or 6.
12 cannot be exactly divided by 5, there will be a
remainder.
3, 4 and 6 are the factors of 12.
the factors of 12 are 1, 2, \\(\square\\), 4, \\(\square\\), 12.
2.
(1) \\(18 \div 3 = \square\\)
(2) \\(18 \div 4 = \square\\) r \\(\square\\)
(3) \\(18 \div 5 = \square\\) r \\(\square\\)
(4) \\(18 \div 6 = \square\\)
(5) the factors of 18 are 1, 2, \\(\square\\), \\(\square\\), 9, 18.

Explanation:

Step1: Simplify fraction (15)

Divide numerator/denominator by 19:
$\frac{19\div19}{38\div19}=\frac{1}{2}$

Step2: Simplify fraction (16)

Divide numerator/denominator by 19:
$\frac{19\div19}{57\div19}=\frac{1}{3}$

Step3: Simplify fraction (17)

Divide numerator/denominator by 19:
$\frac{38\div19}{57\div19}=\frac{2}{3}$

Step4: Simplify fraction (18)

Divide numerator/denominator by 19:
$\frac{19\div19}{76\div19}=\frac{1}{4}$

Step5: Simplify fraction (19)

Divide numerator/denominator by 38:
$\frac{38\div38}{76\div38}=\frac{1}{2}$

Step6: Simplify fraction (20)

Divide numerator/denominator by 19:
$\frac{57\div19}{76\div19}=\frac{3}{4}$

Step7: Simplify fraction (21)

Divide numerator/denominator by 19:
$\frac{19\div19}{95\div19}=\frac{1}{5}$

Step8: Simplify fraction (22)

Divide numerator/denominator by 14:
$\frac{14\div14}{42\div14}=\frac{1}{3}$

Step9: Simplify fraction (23)

Divide numerator/denominator by 8:
$\frac{32\div8}{56\div8}=\frac{4}{7}$

Step10: Simplify fraction (24)

Divide numerator/denominator by 12:
$\frac{12\div12}{60\div12}=\frac{1}{5}$

Step11: Simplify fraction (25)

Divide numerator/denominator by 15:
$\frac{15\div15}{75\div15}=\frac{1}{5}$

Step12: Simplify fraction (26)

Divide numerator/denominator by 20:
$\frac{20\div20}{80\div20}=\frac{1}{4}$

Step13: Simplify fraction (27)

Divide numerator/denominator by 19:
$\frac{38\div19}{95\div19}=\frac{2}{5}$

Step14: Simplify fraction (28)

Divide numerator/denominator by 19:
$\frac{57\div19}{95\div19}=\frac{3}{5}$

Step15: Solve 12 division (1)

Calculate exact division:
$12\div3=4$

Step16: Solve 12 division (2)

Calculate exact division:
$12\div4=3$

Step17: Solve 12 division (3)

Calculate division with remainder:
$12\div5=2$ R $2$

Step18: Solve 12 division (4)

Calculate exact division:
$12\div6=2$

Step19: Fill 12 factors

Identify missing factors of 12:
$3, 6$

Step20: Solve 18 division (1)

Calculate exact division:
$18\div3=6$

Step21: Solve 18 division (2)

Calculate division with remainder:
$18\div4=4$ R $2$

Step22: Solve 18 division (3)

Calculate division with remainder:
$18\div5=3$ R $3$

Step23: Solve 18 division (4)

Calculate exact division:
$18\div6=3$

Step24: Fill 18 factors

Identify missing factors of 18:
$3, 6$

Answer:

Left Page (Fraction Reduction):

(15) $\frac{1}{2}$
(16) $\frac{1}{3}$
(17) $\frac{2}{3}$
(18) $\frac{1}{4}$
(19) $\frac{1}{2}$
(20) $\frac{3}{4}$
(21) $\frac{1}{5}$
(22) $\frac{1}{3}$
(23) $\frac{4}{7}$
(24) $\frac{1}{5}$
(25) $\frac{1}{5}$
(26) $\frac{1}{4}$
(27) $\frac{2}{5}$
(28) $\frac{3}{5}$

Right Page (Division & Factors):

1.
(1) $4$
(2) $3$
(3) $2$ R $2$
(4) $2$
(5) Missing factors: $3$, $6$ (full list: $1, 2, 3, 4, 6, 12$)

2.
(1) $6$
(2) $4$ R $2$
(3) $3$ R $3$
(4) $3$
(5) Missing factors: $3$, $6$ (full list: $1, 2, 3, 6, 9, 18$)