Question

Ruma had a piece of ribbon. She cut the ribbon into four pieces measuring 16/3cm,9/4cm,12/10cm,and 17/15cm. find the length of the ribbon​

Answer 1

Given:

➻ Ruma had a piece of ribbon.

➻ She cut the ribbon into four pieces.

$\large \rm\underline \purple{measuring : }$

• 16/3cm
• 9/4cm
• 12/10cm
• 17/15cm

To Find:

⊱The total length of the ribbon.?

Understanding the question:

✏Now as the lengths of the peices is given and to find the total measurement of the length we add the measurements of each peices.

Solution:

$\sf \rm\underline \purple {let's \: start : }$

${: \implies} \sf \: lenght \: of \: ribbon = \dfrac{16}{3 } + \dfrac{9}{4} + \dfrac{12}{10} + \dfrac{17}{15}$

Now we find the l.c.m

the lcm here is 60

${: \implies} \sf \: length \: of \: the \: ribbon = \frac{320}{60} + \frac{135}{60} + \frac{72}{60} + \frac{68}{60} \\ \\ \\ {: \implies} \sf \: length \: of \: the \: ribbon = \frac{ \cancel{595} \: ^{119} }{ \cancel{60 \: ^{12} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ {: \implies} \sf \: length \: of \: the \: ribbon = \frac{119}{12}cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

therefore the total measurement of the ribbon was 119/12cm

Answer 2

Answer:

119 / 12cm

steps by step

four ribbon

= (16/3) + (9/4) + (I2 / 10 )+ (7/15)

One ribbon..

= 320 +135+72+68

______________

60

= 595 / 12 = 119 / 12

The length of the ribbon=119/12 cm

Explained:

LCM of

3,4,10,15

3 | 3 , 4 , 10, 15

5 | 1, 4, 10, 5

2 | 1, 4, 2, I

2 | 1, 2, I, I

3x5x2x2

lcm= 60

_________________________

595 / 60

so in 5's table these numbers are there so we can cut shot and write as 119 / 12

119x5 = 595

12x5. = 60