Question

Tia cut a 4 meter 8 centimeter wire into 10 equal pieces. Marta cut a 540 centimeter wire into 9 equal pieces. how much longer is one of Marta's wires than one of Tia's?

Answer 1

One meter is 100 meters so 4 meter 8 centimeter is 400 centimeter + 8 centemeter=408. if we cut that into 10 equal pieces, we get 40.8. Marta has 540 centimeters to cut into 9 pieces. 540/9=60. 60-40.8=19.2 marta's wire is 19.2 centimeters longet than tia's

Answer 2

Marta's wire is 19.2 cm longer than Tia's wire.

Further explanation

Given:

Tia 's wire is 4m 8 cm ⇒ cut into 10 equal pieces

Marta's wire 540 cm ⇒ cut into 9 equal pieces

Question:

How much longer is one of Marta's wires then one of Tia's?

1. Tia's wire is in m and cm unit, so we can not divide it straightly into its equal pieces. First step, we are going to convert meter (m) to millimeter (mm):

Tia's wire = 4 m 8 cm

$\boxed {1 m = 100 cm }$

$\boxed {= (4 m \times \frac{100 cm}{ 1 m}) + 8 cm ) } \\\boxed {= 400 cm + 8 cm }\\\boxed {= 408 }$

2. Second step, calculate each pieces Tia's wire:

She cut this wire into 10 equal pieces:

$\boxed {= \frac{408}{10} } \\\boxed {= 40.8 cm }$

Each piece of Tia's s ribbon is is 40.8 cm long

3. Third step, we are going to calculate Marta's wire:

She has 540 cm and cut it into 9 equal pieces

$\boxed {= \frac{540 cm}{9} }$

$\boxed {=60 cm }$

Each pieces Marta's wire is 60 cm long

4. Last step, find the difference between Tia's wire and Marta's:

$\boxed {=60 cm -40.8 cm }\\\boxed {=19.2 cm }$

So, Marta's wire is 19.2 cm longer than Tia's wire

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Keywords: converting, conversion, dividing, subtraction, find the difference, converting meter to centimeter, converting unit of length