Question

1 1/6 - 5/6= 86 5/49 - 85 12/49= 80 7/72 - 14 25/72= 6 5/14 - 9/14= 20 1/36 - 7/36= 100 - 19/70= 10 3/40 - 4 13/40=

Answer 1

Ответ:

$\frac{1}{3}$     $\frac{34}{49}$     $65\frac{3}{4}$     $5\frac{5}{7}$     $19\frac{5}{6}$     $99\frac{53}{70}$    $5\frac{3}{4}$

Пошаговое объяснение:

Решение:

$1\frac{1}{6}-\frac{5}{6}=\frac{1*6+1}{6}-\frac{5}{6}=\frac{6+1}{6}-\frac{5}{6}=\frac{7}{6}-\frac{5}{6}=\frac{2}{6}=\frac{2:2}{6:2}=\frac{1}{3}$

$86\frac{5}{49}-85\frac{12}{49}=\frac{86*49+5}{49}-\frac{85*49+12}{49}=\frac{4214+5}{49}-\frac{4165+20}{49}=\frac{4219}{49}-\frac{4185}{49}=\frac{34}{49}$

$80\frac{7}{72}-14\frac{25}{72}=\frac{80*72+7}{72}-\frac{14*72+25}{72}=\frac{5760+7}{72}-\frac{1008+25}{72}=\frac{5767}{72}-\frac{1033}{72}=\frac{4734}{72}=65\frac{54}{72}=65\frac{54:18}{72:18}=65\frac{3}{4}$

$6\frac{5}{14}-\frac{9}{14}=\frac{6*14+5}{14}-\frac{9}{14}=\frac{84+5}{14}-\frac{9}{14}=\frac{89}{14}-\frac{9}{14}=\frac{80}{14}=5\frac{10}{14}=5\frac{10:2}{14:2}=5\frac{5}{7}$

$20\frac{1}{36}-\frac{7}{36}=\frac{20*36+1}{36}-\frac{7}{36}=\frac{720+1}{36}-\frac{7}{36}=\frac{721}{36}-\frac{7}{36}=\frac{714}{36}=19\frac{30}{36}=19\frac{30:6}{36:6}=19\frac{5}{6}$

$100-\frac{19}{70}=\frac{100*70}{70}-\frac{19}{70}=\frac{7000}{70}-\frac{19}{70}=\frac{6983}{70}=99\frac{53}{70}$

$10\frac{3}{40}-4\frac{13}{40}=\frac{10*40+3}{40}-\frac{4*40+13}{40}=\frac{400+3}{40}-\frac{160+13}{40}=\frac{403}{40}-\frac{173}{40}=\frac{230}{40}=5\frac{30}{40}=5\frac{30:10}{40:10}=5\frac{3}{4}$

Answer 2

Let's solve each of these arithmetic expressions step by step:

1. $1 \frac{1}{6} - \frac{5}{6}$ To subtract fractions, we need a common denominator. In this case, the common denominator is 6. So, we have: $\frac{7}{6} - \frac{5}{6} = \frac{7-5}{6} = \frac{2}{6} = \frac{1}{3}$

2. $86 \frac{5}{49} - 85 \frac{12}{49}$ Since both fractions have the same denominator (49), we can subtract them directly: $86 \frac{5}{49} - 85 \frac{12}{49} = \frac{86 \times 49 + 5}{49} - \frac{85 \times 49 + 12}{49} = \frac{4219}{49} - \frac{4187}{49} = \frac{32}{49}$

3. $80 \frac{7}{72} - 14 \frac{25}{72}$ We can also directly subtract these fractions since they have the same denominator (72): $80 \frac{7}{72} - 14 \frac{25}{72} = \frac{80 \times 72 + 7}{72} - \frac{14 \times 72 + 25}{72} = \frac{5767}{72} - \frac{1073}{72} = \frac{4694}{72}$ Now, let's simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2: $\frac{4694}{72} = \frac{2337}{36}$

4. $6 \frac{5}{14} - \frac{9}{14}$ The common denominator for both fractions is 14: $6 \frac{5}{14} - \frac{9}{14} = \frac{6 \times 14 + 5}{14} - \frac{9}{14} = \frac{89}{14}$

5. $20 \frac{1}{36} - \frac{7}{36}$ The common denominator is 36: $20 \frac{1}{36} - \frac{7}{36} = \frac{20 \times 36 + 1}{36} - \frac{7}{36} = \frac{721}{36}$

6. $100 - \frac{19}{70}$ To subtract a fraction from a whole number, we need to convert the whole number into a fraction with the same denominator as the fraction (70 in this case): $100 - \frac{19}{70} = \frac{100 \times 70}{70} - \frac{19}{70} = \frac{7000}{70} - \frac{19}{70} = \frac{6981}{70}$