Numbers

3-97 Equivalent Fractions

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Fractions with different numerators and denominators that name the same amount are called equivalent fractions.

Look at the fractions below.

 

Cir.1-2.gif (1403 bytes) Cir.2-4.gif (1423 bytes)
1/2 2/4

 

The fractions 1/2 and 2/4 are equivalent or equal.

Look at the fractions 1/4 and 2/8 below.

 

Cir.1-4.gif (1405 bytes) Cir.2-8.gif (1547 bytes)
1/4 2/8

 

The fractions 1/4 and 2/8 are equivalent.

 

Look at the fractions 3/4 and 3/6.  These fractions are not equivalent.  3/4 and 3/6 are not equal.

 

Cir.3-4.gif (1415 bytes) Cir.3-6.gif (1537 bytes)
3/4 3/6

 

Complete the problems below.  Write "YES" for equivalent and "NO" for not equivalent.

 

Cir.1-2.gif (1403 bytes) Cir.2-4.gif (1423 bytes) Cir.1-4.gif (1405 bytes) Cir.2-8.gif (1547 bytes)
1/2 2/4 1/4 2/8
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

Cir.3-8.gif (1545 bytes) Cir.2-4.gif (1423 bytes) Cir.1-4.gif (1405 bytes) Cir.3-4.gif (1415 bytes)
3/8 2/4 1/4 3/4
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

Cir.4-8.gif (1565 bytes) Cir.2-4.gif (1423 bytes) Cir.6-8.gif (1563 bytes) Cir.3-4.gif (1415 bytes)
4/8 2/4 6/8 3/4
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

Cir.4-8.gif (1565 bytes) Cir.3-6.gif (1537 bytes) Cir.6-8.gif (1563 bytes)
4/8 3/6 6/8 4/6
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

Cir.1-6.gif (1511 bytes) Cir.1-8.gif (1540 bytes) Cir.3-8.gif (1545 bytes) Cir.5-6.gif (1526 bytes)
1/6 1/8 3/8 5/6
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

Cir.2-6.gif (1533 bytes) Cir.1-3.gif (1415 bytes) Cir.2-3.gif (1435 bytes)
2/6 1/3 2/3 4/6
Spacer.gif (42 bytes) Spacer.gif (42 bytes)
Equivalent? Equivalent?

 

 

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