Question

Вычислите удобным способом а) 11/39(1/12+28/39 б)(25/44 +1/7 ) -3/44 в) 5/18+8/21+4/18+6/21 г) (33/70+8/35)+(11/70+9/35) Cпасибо

Answer 1

а) 11/39+(1/12+28/39=11/39+28/39+1/12=39/39+1/12=1 1/12

б)(25/44 +1/7 ) -3/44=25/44-3/44+1/7=22/44+1/7=1/2+1/7=7/14+2/14=9/14

в) 5/18+8/21+4/18+6/21=(5/18+4/18)+(8/21+6/21)=9/18+14/21=1/2+2/3=

=3/6+4/6=7/6=1 1/6

г) (33/70+8/35)+(11/70+9/35)=(33/70+11/70)+(8/35+9/35)=44/70+17/35=

=44/70+34/70=78/70=1 8/70

Answer 2

Calculation of Expressions

Let's calculate the given expressions step by step:

a) 11/39(1/12 + 28/39)

To simplify this expression, we need to find a common denominator for the fractions inside the parentheses. The least common multiple (LCM) of 12 and 39 is 156.

So, we can rewrite the expression as:

11/39 * (1/12 * 13/13 + 28/39 * 4/4)

Simplifying further:

11/39 * (13/156 + 112/156)

Adding the fractions inside the parentheses:

11/39 * 125/156

Multiplying the fractions:

(11 * 125) / (39 * 156)

Calculating the numerator and denominator:

1375 / 6084

Therefore, the value of a) is 1375/6084.

b) (25/44 + 1/7) - 3/44

To simplify this expression, we need to find a common denominator for the fractions. The least common multiple (LCM) of 44 and 7 is 308.

So, we can rewrite the expression as:

(25/44 * 7/7 + 1/7 * 44/44) - 3/44

Simplifying further:

175/308 + 44/308 - 3/44

Adding the fractions:

(175 + 44 - 3) / 308

Calculating the numerator:

216 / 308

Simplifying the fraction:

(216 / 4) / (308 / 4)

54 / 77

Therefore, the value of b) is 54/77.

c) 5/18 + 8/21 + 4/18 + 6/21

To simplify this expression, we need to find a common denominator for the fractions. The least common multiple (LCM) of 18 and 21 is 126.

So, we can rewrite the expression as:

5/18 * 7/7 + 8/21 * 6/6 + 4/18 * 7/7 + 6/21 * 6/6

Simplifying further:

35/126 + 48/126 + 28/126 + 36/126

Adding the fractions:

(35 + 48 + 28 + 36) / 126

Calculating the numerator:

147 / 126

Simplifying the fraction:

(147 / 21) / (126 / 21)

7 / 6

Therefore, the value of c) is 7/6.

d) (33/70 + 8/35) + (11/70 + 9/35)

To simplify this expression, we need to find a common denominator for the fractions. The least common multiple (LCM) of 70 and 35 is 70.

So, we can rewrite the expression as:

(33/70 * 1/1 + 8/35 * 2/2) + (11/70 * 1/1 + 9/35 * 2/2)

Simplifying further:

33/70 + 16/70 + 11/70 + 18/70

Adding the fractions:

(33 + 16 + 11 + 18) / 70

Calculating the numerator:

78 / 70

Simplifying the fraction:

(78 / 2) / (70 / 2)

39 / 35

Therefore, the value of d) is 39/35.

I hope this helps! Let me know if you have any further questions.